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What are the factors of 224?

It exists 10 factors of 224, if an integer is a factor of 224 then it exists another natural number we can multiply by that integer to get 224. Here are the 10 factors of 224: 1; 2; 4; 7; 8; 14; 16; 28; 32; 56; 112; 224.
Example: 8 is a factor of 224 because 8 multiplied by 28 is equal to 224.
If the product of two whole numbers is equal to 224 then those two whole numbers are factors of 224. So 28 and 8 are both factors of 224.
Remark: The division of 224 by one of its factors gives as quotient another factor of 224 and zero remainder, a factor of 224 is also a divisor of 224.
Example: 14 is a factor of 224, so 224 divided by 14 gives as quotient 16 which is another factor of 224 and the remainder of the division is equal to zero (224/14=16).
Here are all the multiplications of two integers that the product is equal to 224: 1*224=224; 2*112=224; 4*56=224; 7*32=224; 8*28=224; 14*16=224.
Here are the prime factors of 224: 2; 7.
The prime factorization of 224 is: 2^5*7.
224 is a multiple of 2 then 224 is an even number.

Factors of 224:
Justify why 1; 2; 4; 7; 8; 14; 16; 28; 32; 56; 112; 224 are factors of 224?
Note: A factor of 224 is a whole number that can divide 224 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 natural number to get 224 as product.
1 is a factor of 224 because the multiplication of 224 by 1 gives 224 as product.
2 is a factor of 224 because the multiplication of 2 by 112 gives 224 as product.
4 is a factor of 224 because the multiplication of 4 by 56 gives 224 as product.
7 is a factor of 224 because the multiplication of 7 by 32 gives 224 as product.
8 is a factor of 224 because the multiplication of 8 by 28 gives 224 as product.
14 is a factor of 224 because the multiplication of 14 by 16 gives 224 as product.
16 is a factor of 224 because 224 divided by 16 is equal to 14 and the remainder of the division is equal to zero.
28 is a factor of 224 because 224 divided by 28 gives 8 as quotient and the remainder of the division is equal to zero.
32 is a factor of 224 because 224 divided by 32 is equal to 7 and the remainder of the division is equal to zero.
56 is a factor of 224 because 224 divided by 56 is equal to 4 and the remainder of the division is equal to zero.
112 is a factor of 224 because 224 divided by 112 gives 2 as quotient and the remainder of the division is equal to zero.
224 is a factor of 224 because 224 divided by 224 gives 1 as quotient and the remainder of the division is equal to zero.


Multiples of 224:
Justify if the following natural numbers are multiples of 224: 672; 1120; 896; 1792; 1800; 2688; 2464; 3360; 3808; 3811; 4480; 4928; 5152; 5600; 5612; 7840; 8064; 7616; 6944; 6945; 9184.
Note: A positive integer is a multiple of 224 if its division by 224 gives a whole number as quotient and a remainder that is equal to zero.
If a natural number is a multiple of 224 then 224 is its factor.
224 is an even number then all the multiples of 224 are even numbers.
224 divides 672 by giving 3 as quotient and zero remainder so 672 is a multiple of 224 and 224 is a factor of 672.
If we divide 1120 by 224 we get an integer quotient that is equal to 5 and the remainder of the division is equal to zero so 1120 is a multiple of 224 (224 and 5 are factors of 1120).
896 is a multiple of 224 because 896 divided by 224 gives 4 as quotient and the remainder of the division is equal to zero so 224 is a factor of 896.
By dividing 1792 by 224 we get 8 as quotient and the remainder of that division is equal to zero so 1792 is a common multiple of 224 and 8 (224 and 8 are factors of 1792).
By dividing 1800 by 224 we get 8 as quotient and the remainder of the division is equal to 2(different from zero) so 1800 is not a multiple of 224 and 224 is not a factor of 1800.
The division of 2688 by 224 gives 12 as quotient and a remainder that is equal to zero so 2688 is a multiple of 224 and 224 is a factor of 2688.
2464 is the product of the multiplication of 224 by 11 so 2464 is a common multiple of 224 and 11 (224 and 11 are factors of 2464).
224 is a factor of 3360 because the division of 3360 by 224 gives 15 as quotient and the remainder of the division is equal to zero so 3360 is a multiple of 224.
By multiplying 224 by 17 we get 3808 as product so 3808 is a common multiple of 224 and 17 (224 and 17 are divisors or factors of 3808).
It doesn't exist a whole number that we can multiply by 224 to get 3811 so 3811 is not a multiple of 224 and 224 is not a factor of 3811.
4480 is a multiple of 224 and 224 is a factor of 4480 because the quotient of the division of 4480 by 224 is equal to 20 and the remainder of that division is equal to zero.
By dividing 4928 by 224 we get 22 as quotient and the remainder of the division is equal to zero so 4928 is a multiple of 224 and 224 is a factor of 4928.
5152 divided by 224 gives 23 as quotient and a remainder that is equal to zero so 5152 is a common multiple of 224 and 23 (224 and 23 are factors of 5152).
The multiplication of 224 by 25 gives 5600 as product so 5600 is a commun multiple of 224 and 25 (224 and 25 are factors of 5600).
5612 divided by 224 is equal to 25 and the remainder of the division is equal to 12 so 5612 is not a multiple of 224 and 224 is not a factor of 5612.
224 is a factor of 7840 because the division of 7840 by 224 gives 35 as quotient and a remainder that is equal to zero.
If we multiply 224 by 36 we get 8064 so 8064 is a commun multiple of 224 and 36 (224 and 36 are factors of 8064).
7616 divided by 224 is equal to 34 and the remainder of the division is equal to zero so 7616 is a multiple of 224 and 224 is a factor of 7616.
The division of 6944 by 224 gives 31 as quotient and a remainder that is equal to zero so 6944 is a multiple of 224 and 224 is a factor of 6944.
6945 is not a multiple of 224 because its division by 224 gives 31 as quotient and a remainder that is different from zero (remainder=1) so 224 is neither a factor nor a divisor of 6945.
By multiplying 224 by 41 we get 9184 as product so 9184 is a multiple of 224 and 41 (224 and 41 are factors of 9184).

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.

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