Factors of 104:** 1; 2; 4; 8; 13; 26; 52; 104
**

We see that 104 has 8 factors, because 104 is a composite number, a prime number has two factors and a composite number has more than two factors. A composite number is a multiple of prime numbers. If a whole number is a factor of 104 that number can divide 104, the quotient of the division is an integer and the remainder is zero. The factors of 104 are also called divisors of 104, and 104 is one of their multiples.

104 can be found by the multiplication of several couples of its factors, here are the couples of factors of 104 that you can multiply for finding 104: 1 and 104; 2 and 52; 4 and 26; 8 and 13.

1 * 104=104; 2 * 52=104; 4 * 26=104; 8 * 13=104

By dividing 104 by one of its factors, the quotient must be another factor of 104.

Example: 104/2=52; 104/4=26; 104/13=8

**2 and 13 are the prime factors of 104**

The prime factorization of 104 is:**2*2*2*13=2*3^13**

Here are all the factors of some integers (composite numbers from 261 to 280):

**Factors of 104:**

Justify why 1; 2; 4; 8; 13; 26; 52 and 104 are factors of 104?

Note: A factor of 104 is a whole number that can divide 104 by giving an integer quotient and a remainder that is equal to zero or it's a whole number that we can multiply with another whole number to get 104 as product.

1 is a factor of 104 because 104 divided by 1 is equal to 104 and the remainder of the division is equal to zero.

2 is a factor of 104 because 104 divided by 2 gives 52 as quotient and the remainder of the division is equal to zero.

4 is a factor of 104 because 104 divided by 4 gives 26 as quotient and the remainder of the division is equal to zero.

8 is a factor of 104 because 104 divided by 8 gives 13 as quotient and the remainder of the division is equal to zero.

13 is a factor of 104 because the multiplication of 13 by 8 gives 104 as product.

26 is a factor of 104 because the multiplication of 26 and 4 gives 104 as product.

52 is a factor of 104 because the multiplication of 52 and 2 gives 104 as product.

104 is a factor of 104 because the multiplication of 104 by 1 gives 104 as product.

**Multiples of 104:**

Justify if the following whole numbers are multiples of 104: 312; 520; 550; 728; 1040; 1248; 733; 1560; 1580; 936; 1768; 2288; 2184; 2190; 2600; 3432; 3952; 4264; 5200.

Note: A positive integer is a multiple of 104 if its division by 104 gives a whole number as quotient and a remainder that is equal to zero.

If a natural number is a multiple of 104 then 104 is its factor. 104 is an even number then all the multiples of 104 are also even numbers.

If we divide 312 by 104 we get an integer quotient that is equal to 3 and the remainder of the division is equal to zero so 312 is a multiple of 104 (104 and 3 are factors of 312).

By dividing 520 by 104 we get 5 as quotient and the remainder of that division is equal to zero so 520 is a common multiple of 104 and 5 (104 and 5 are factors of 520).

550 is not divisible by 104 because 550 divided by 104 gives 5 as quotient and the remainder of the division is different from zero so 550 is not a multiple of 104 (104 is not a factor of 550).

728 is the product of the multiplication of 104 by 7 so 728 is a common multiple of 104 and 7 (104 and 7 are factors of 728).

104 is a factor of 1040 because the division of 1040 by 104 gives 10 as quotient and the remainder of the division is zero so 1040 is a multiple of 104 and 10 (104 and 10 are factors of 1040).

By multiplying 104 by 12 we get 1248 as product so 1248 is a multiple of 104 and 12 (104 and 12 are divisors or factors of 1248).

733 is not a multiple of 104 and 104 is not a factor of 733 because 733 is not an even number, all the multiples of 104 are even numbers.

1560 divided by 104 gives 15 as quotient and a remainder that is equal to zero so 1560 is a common multiple of 104 and 15 (104 and 15 are factors of 1560).

104 is not a factor of 1580 because the division of 1580 by 104 gives 15 as quotient and a remainder that is not equal to zero.

If we multiply 104 by 9 we get 936 so 936 is a commun multiple of 104 and 9 (104 and 9 are factors of 936).

1768 divided by 104 is equal to 17 and the remainder of the division is equal to zero so 1768 is a multiple of 104 and 104 is a factor of 1768.

2288 is a common multiple of 104 and 22 because the multiplication of 104 and 22 gives 2288 as product so 104 and 22 are factors of 2288.

2184 is divisible by 104 because the division of 2184 by 104 is equal to 21 and the remainder of that division is equal to zero so 2184 is a multiple of 104 and 104 is a factor of 2184.

2190 divided by 104 gives 21 as quotient and the remainder of the division is not zero so 2190 is not a multiple of 104 and 104 is not a factor of 2190.

2600 is divisible by 104 because the division of 2600 by 104 gives 25 as quotient and a remainder that is equal to zero so 2600 is a common multiple of 104 and 25 (104 and 25 are factors of 2600).

By multiplying 104 by 33 we get 3432 as product so 3432 is a multiple of 104 and 33 (104 and 33 are factors of 3432).

By dividing 3952 by 104 we get 38 as quotient and zero remainder so 3952 is a multiple of 104 and 38 (104 and 38 are factors of 3952).

The multiplication of 104 and 41 gives 4264 as product so 4264 is a multiple of 104 and 41 (104 and 41 are factors of 4264).

104 multiplied by 50 gives 5200 as product so 5200 is a multiple of 104 and 50 (104 and 50 are factors of 5200).

**Arithmetic and algebra expressions:**

**Positive integer:** Positive integers or natural numbers are numbers that are written only by using the combination of the ten existing
digits (0; 1; 2; 3; 4; 5; 6; 7; 8; 9). The natural numbers are infinite, we cannot list them all.

The first number that is a natural number is 0.

**Rational number: **Rational numbers are numbers we can write them as fractions that the numerators are
relative integers and the denominators are whole numbers different from zero.

** Fraction:** A fraction is a division where the dividend is called the numerator and the divisor is called the denominator.

**Factors :** A factor of a whole number is a positive integer that can divide that whole number, each whole number
has at least two factors.

**Common factors: **If a natural number divides two numbers by giving an integer quotient and zero remainder then that
natural number is a common factor or common divisor of the two numbers.

**Prime factors:** A prime factor of a whole number is its factor that is a prime number.

**Composite numbers:** a composite number is a natural number that is not a prime number.

** Even numbers: **An even number is a positive integer that is divisible by 2.

** Odd numbers:** An odd number is a positive integer that is not divisible by 2.

** Decimals :** decimals are all numbers that can be written with a point or not, all natural number are decimals but
all decimal numbers are not natural numbers.

** Substraction :** a subtraction is one of the four arithmetic operations that allows you to tell the difference between two numbers.

** Divisibility rules :** a rule of divisibility helps to know if a natural number is divisible by another
natural number or not.

**Online application to find the least common multiples of two integers**

**Multiples of 12**

We see that 104 has 8 factors, because 104 is a composite number, a prime number has two factors and a composite number has more than two factors. A composite number is a multiple of prime numbers. If a whole number is a factor of 104 that number can divide 104, the quotient of the division is an integer and the remainder is zero. The factors of 104 are also called divisors of 104, and 104 is one of their multiples.

104 can be found by the multiplication of several couples of its factors, here are the couples of factors of 104 that you can multiply for finding 104: 1 and 104; 2 and 52; 4 and 26; 8 and 13.

1 * 104=104; 2 * 52=104; 4 * 26=104; 8 * 13=104

By dividing 104 by one of its factors, the quotient must be another factor of 104.

Example: 104/2=52; 104/4=26; 104/13=8

The prime factorization of 104 is:

Here are all the factors of some integers (composite numbers from 261 to 280):

Justify why 1; 2; 4; 8; 13; 26; 52 and 104 are factors of 104?

Note: A factor of 104 is a whole number that can divide 104 by giving an integer quotient and a remainder that is equal to zero or it's a whole number that we can multiply with another whole number to get 104 as product.

1 is a factor of 104 because 104 divided by 1 is equal to 104 and the remainder of the division is equal to zero.

2 is a factor of 104 because 104 divided by 2 gives 52 as quotient and the remainder of the division is equal to zero.

4 is a factor of 104 because 104 divided by 4 gives 26 as quotient and the remainder of the division is equal to zero.

8 is a factor of 104 because 104 divided by 8 gives 13 as quotient and the remainder of the division is equal to zero.

13 is a factor of 104 because the multiplication of 13 by 8 gives 104 as product.

26 is a factor of 104 because the multiplication of 26 and 4 gives 104 as product.

52 is a factor of 104 because the multiplication of 52 and 2 gives 104 as product.

104 is a factor of 104 because the multiplication of 104 by 1 gives 104 as product.

Justify if the following whole numbers are multiples of 104: 312; 520; 550; 728; 1040; 1248; 733; 1560; 1580; 936; 1768; 2288; 2184; 2190; 2600; 3432; 3952; 4264; 5200.

Note: A positive integer is a multiple of 104 if its division by 104 gives a whole number as quotient and a remainder that is equal to zero.

If a natural number is a multiple of 104 then 104 is its factor. 104 is an even number then all the multiples of 104 are also even numbers.

If we divide 312 by 104 we get an integer quotient that is equal to 3 and the remainder of the division is equal to zero so 312 is a multiple of 104 (104 and 3 are factors of 312).

By dividing 520 by 104 we get 5 as quotient and the remainder of that division is equal to zero so 520 is a common multiple of 104 and 5 (104 and 5 are factors of 520).

550 is not divisible by 104 because 550 divided by 104 gives 5 as quotient and the remainder of the division is different from zero so 550 is not a multiple of 104 (104 is not a factor of 550).

728 is the product of the multiplication of 104 by 7 so 728 is a common multiple of 104 and 7 (104 and 7 are factors of 728).

104 is a factor of 1040 because the division of 1040 by 104 gives 10 as quotient and the remainder of the division is zero so 1040 is a multiple of 104 and 10 (104 and 10 are factors of 1040).

By multiplying 104 by 12 we get 1248 as product so 1248 is a multiple of 104 and 12 (104 and 12 are divisors or factors of 1248).

733 is not a multiple of 104 and 104 is not a factor of 733 because 733 is not an even number, all the multiples of 104 are even numbers.

1560 divided by 104 gives 15 as quotient and a remainder that is equal to zero so 1560 is a common multiple of 104 and 15 (104 and 15 are factors of 1560).

104 is not a factor of 1580 because the division of 1580 by 104 gives 15 as quotient and a remainder that is not equal to zero.

If we multiply 104 by 9 we get 936 so 936 is a commun multiple of 104 and 9 (104 and 9 are factors of 936).

1768 divided by 104 is equal to 17 and the remainder of the division is equal to zero so 1768 is a multiple of 104 and 104 is a factor of 1768.

2288 is a common multiple of 104 and 22 because the multiplication of 104 and 22 gives 2288 as product so 104 and 22 are factors of 2288.

2184 is divisible by 104 because the division of 2184 by 104 is equal to 21 and the remainder of that division is equal to zero so 2184 is a multiple of 104 and 104 is a factor of 2184.

2190 divided by 104 gives 21 as quotient and the remainder of the division is not zero so 2190 is not a multiple of 104 and 104 is not a factor of 2190.

2600 is divisible by 104 because the division of 2600 by 104 gives 25 as quotient and a remainder that is equal to zero so 2600 is a common multiple of 104 and 25 (104 and 25 are factors of 2600).

By multiplying 104 by 33 we get 3432 as product so 3432 is a multiple of 104 and 33 (104 and 33 are factors of 3432).

By dividing 3952 by 104 we get 38 as quotient and zero remainder so 3952 is a multiple of 104 and 38 (104 and 38 are factors of 3952).

The multiplication of 104 and 41 gives 4264 as product so 4264 is a multiple of 104 and 41 (104 and 41 are factors of 4264).

104 multiplied by 50 gives 5200 as product so 5200 is a multiple of 104 and 50 (104 and 50 are factors of 5200).

The first number that is a natural number is 0.