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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
The factors of 445:
1; 5; 89; 445
The factors of 446:
1; 2; 223; 446
The factors of 447:
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
The factors of 453 :
1; 3; 151; 453
The factors of 454 :
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
The factors of 458 :
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
The factors of 466 :
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
The factors of 471 :
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;
The factors of 478 :
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
The factors of 482 :
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;
The factors of 485 :
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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