## What are the factors of 45?

Here are all the factors of 45: 1; 3; 5; 9; 15; 45
45 has 6 factors or divisors (45 is divisible by each of its factors) because 45 is not a prime number, 45 is a composite number, in arithmetic if an integer bigger than 2 is a composite number, you can calculate it by multiplying at least two prime numbers, that's to say a composite number is a multiple of prime numbers and it has prime numbers among its factors.
Among the factors of 45, 3 and 5 are prime factors. A prime factor is a prime number that is a factor or divisor of an integer.
The prime factorization of 45 is: 3*3*5 = 3^2 * 5
Here are the couple of factors of 45 that you can multiply for finding 45 (the multiplication of each pair of integers gives 45):

1 and 45: 1*45=45; 3 and 15: 3*15=45; 5 and 9: 5*9=45;
Apart from these 3 pairs of integers, we cannot find other pairs of integers whose product makes it possible to find 45.
If an integer f is a factor of 45, we can divide 45 by f to get an integer quotient and zero remainder (example: f=5. 45 divided by 5 gives 9 as quotient and zero remainder. And 9 multiplied by 5 gives 45). The quotient of the division of 45 by f must be one of the factors of 45 (1; 3; 5; 9; 15 or 45). the value of the dividend f must also correspond to one of the divisors (factors) of 45 (1; 3; 5; 9; 15 or 45). That means if you divide 45 by one of its factors, the quotient must be another of its factors and the remainder must be zero.
Here are all the factors of some whole numbers that are not prime numbers (from 430 to 500).

### The factors of 430:

1; 2; 5; 10; 43; 86; 215; 430

### The factors of 432:

1; 2; 3; 4; 6; 8; 9; 12; 16; 18; 24; 27; 36; 48; 54; 72; 108; 144; 216; 432

### The factors of 434:

1; 2; 7; 14; 31; 62; 217; 434

### The factors of 435:

1; 3; 5; 15; 29; 87; 145; 435

### The factors of 436:

1; 2; 4; 109; 218; 436

### The factors of 438:

1; 2; 3; 6; 73; 146; 219; 438

### The factors of 440:

1; 2; 4; 5; 8; 10; 11; 20; 22; 40; 44; 55; 88; 110; 220; 440

### The factors of 441:

1; 3; 7; 9; 21; 49; 63; 147; 441

### The factors of 442:

1; 2; 13; 17; 26; 34; 221; 442

### The factors of 444:

1; 2; 3; 4; 6; 12; 37; 74; 111; 148; 222; 444

1; 5; 89; 445

1; 2; 223; 446

1; 3; 149; 447

### The factors of 448:

1; 2; 4; 7; 8; 14; 16; 28; 32; 56; 64; 112; 224; 448

### The factors of 450:

1; 2; 3; 5; 6; 9; 10; 15; 18; 25; 30; 45; 50; 75; 90; 150; 225; 450

### The factors of 452 :

1; 2; 4; 113; 226; 452

1; 3; 151; 453

1; 2; 227; 454

### The factors of 455 :

1; 5; 7; 13; 35; 65; 91; 455

### The factors of 456 :

1; 2; 3; 4; 6; 8; 12; 19; 24; 38; 57; 76; 114; 152; 228; 456

1; 2; 229; 458

### The factors of 459 :

1; 3; 9; 17; 27; 51; 153; 459

### The factors of 460 :

1; 2; 4; 5; 10; 20; 23; 46; 92; 115; 230; 460

### The factors of 462 :

1; 2; 3; 6; 7; 11; 14; 21; 22; 33; 42; 66; 77; 154; 231; 462

### The factors of 464 :

1; 2; 4; 8; 16; 29; 58; 116; 232; 464

### The factors of 465 :

1; 3; 5; 15; 31; 93; 155; 465

1; 2; 233; 466

### The factors of 468 :

1; 2; 3; 4; 6; 9; 12; 13; 18; 26; 36; 39; 52; 78; 117; 156; 234; 468

### The factors of 470 :

1; 2; 5; 10; 47; 94; 235; 470

1; 3; 157; 471

### The factors of 472 :

1; 2; 4; 8; 59; 118; 236; 472

### The factors of 474 :

1; 2; 3; 6; 79; 158; 237; 474

### The factors of 475 :

1; 5; 19; 25; 95; 475

### The factors of 476 :

1; 2; 4; 7; 14; 17; 28; 34; 68; 119; 238; 476

### The factors of 477 :

1; 3; 9; 53; 159; 477;

1; 2; 239; 478

### The factors of 480 :

1; 2; 3; 4; 5; 6; 8; 10; 12; 15; 16; 20; 24; 30; 32; 40; 48; 60; 80; 96; 120; 160; 240; 480

1; 2; 241; 482

### The factors of 483 :

1; 3; 7; 21; 23; 69; 161; 483;

### The factors of 484 :

1; 2; 4; 11; 22; 44; 121; 242; 484;

1; 5; 97; 485

### The factors of 486 :

1; 2; 3; 6; 9; 18; 27; 54; 81; 162; 243; 486

### The factors of 488 :

1; 2; 4; 8; 61; 122; 244; 488

### The factors of 490 :

1; 2; 5; 7; 10; 14; 35; 49; 70; 98; 245; 490

### The factors of 492 :

1; 2; 3; 4; 6; 12; 41; 82; 123; 164; 246; 492

### The factors of 494 :

1; 2; 13; 19; 26; 38; 247; 494

### The factors of 495 :

1; 3; 5; 9; 11; 15; 33; 45; 55; 99; 165; 495

### The factors of 496 :

1; 2; 4; 8; 16; 31; 62; 124; 248; 496

### The factors of 498 :

1; 2; 3; 6; 83; 166; 249; 498

### The factors of 500 :

1; 2; 4; 5; 10; 20; 25; 50; 100; 125; 250; 500
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