Factors of 432

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What are the Factors of 432?

Answer

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

(number 432 has 20 factors)

Factor Pairs of 432

A Factor Pair of number 432 is a combination of two factors which can be multiplied together to equal 432.

List of all possible Factor Pairs of 432:

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

How to find the Factors of 432

Divide 432 by every whole number from 1 up to 20. Each division without a remainder gives a factor and its pair. There is no point going further: 21 × 21 = 441 is already greater than 432, so any larger divisor would pair with a smaller one you have already checked.

  • 432 ÷ 1 = 432 — factors 1 and 432
  • 432 ÷ 2 = 216 — factors 2 and 216
  • 432 ÷ 3 = 144 — factors 3 and 144
  • 432 ÷ 4 = 108 — factors 4 and 108
  • 432 ÷ 5 — remainder 2, not a factor
  • 432 ÷ 6 = 72 — factors 6 and 72
  • 432 ÷ 7 — remainder 5, not a factor
  • 432 ÷ 8 = 54 — factors 8 and 54
  • 432 ÷ 9 = 48 — factors 9 and 48
  • 432 ÷ 10 — remainder 2, not a factor
  • 432 ÷ 11 — remainder 3, not a factor
  • 432 ÷ 12 = 36 — factors 12 and 36
  • 432 ÷ 13 — remainder 3, not a factor
  • 432 ÷ 14 — remainder 12, not a factor
  • 432 ÷ 15 — remainder 12, not a factor
  • 432 ÷ 16 = 27 — factors 16 and 27
  • 432 ÷ 17 — remainder 7, not a factor
  • 432 ÷ 18 = 24 — factors 18 and 24
  • 432 ÷ 19 — remainder 14, not a factor
  • 432 ÷ 20 — remainder 12, not a factor

Why 432 has exactly 20 factors

The count follows from the prime factorization: add 1 to each exponent and multiply. Counting the divisors this way needs no trial division at all, however large the number is.

432 = 24 × 33

(4 + 1) × (3 + 1) = 20

Step-by-step factorization: Prime factors of 432.

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About "Factors of a Number" Calculator

This calculator will help you find all factors of a given number. For example, it can help you find out what are the Factors of 432? (The answer is: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432). Pick the number (e.g. '432'). After that hit the 'Find' button.
The Factors of a number are numbers that divides initial number evenly, with no remainder
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Factors of

Factors Table

NumberFactors
4171, 3, 139, 417
4181, 2, 11, 19, 22, 38, 209, 418
4191, 419
4201, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
4211, 421
4221, 2, 211, 422
4231, 3, 9, 47, 141, 423
4241, 2, 4, 8, 53, 106, 212, 424
4251, 5, 17, 25, 85, 425
4261, 2, 3, 6, 71, 142, 213, 426
4271, 7, 61, 427
4281, 2, 4, 107, 214, 428
4291, 3, 11, 13, 33, 39, 143, 429
4301, 2, 5, 10, 43, 86, 215, 430
4311, 431
4321, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
4331, 433
4341, 2, 7, 14, 31, 62, 217, 434
4351, 3, 5, 15, 29, 87, 145, 435
4361, 2, 4, 109, 218, 436
4371, 19, 23, 437
4381, 2, 3, 6, 73, 146, 219, 438
4391, 439
4401, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
4411, 3, 7, 9, 21, 49, 63, 147, 441
4421, 2, 13, 17, 26, 34, 221, 442
4431, 443
4441, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
4451, 5, 89, 445
4461, 2, 223, 446

FAQ

What are the Factors of 432?

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

How many factors does 432 have?

Number 432 has 20 factors

How many Factor Pairs does 432 have?

Number 432 has 10 factor pairs

See Also