Factors of 480

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Factors of

What are the Factors of 480?

Answer

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

(number 480 has 24 factors)

Factor Pairs of 480

A Factor Pair of number 480 is a combination of two factors which can be multiplied together to equal 480.

List of all possible Factor Pairs of 480:

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

How to find the Factors of 480

Divide 480 by every whole number from 1 up to 21. Each division without a remainder gives a factor and its pair. There is no point going further: 22 × 22 = 484 is already greater than 480, so any larger divisor would pair with a smaller one you have already checked.

  • 480 ÷ 1 = 480 — factors 1 and 480
  • 480 ÷ 2 = 240 — factors 2 and 240
  • 480 ÷ 3 = 160 — factors 3 and 160
  • 480 ÷ 4 = 120 — factors 4 and 120
  • 480 ÷ 5 = 96 — factors 5 and 96
  • 480 ÷ 6 = 80 — factors 6 and 80
  • 480 ÷ 7 — remainder 4, not a factor
  • 480 ÷ 8 = 60 — factors 8 and 60
  • 480 ÷ 9 — remainder 3, not a factor
  • 480 ÷ 10 = 48 — factors 10 and 48
  • 480 ÷ 11 — remainder 7, not a factor
  • 480 ÷ 12 = 40 — factors 12 and 40
  • 480 ÷ 13 — remainder 12, not a factor
  • 480 ÷ 14 — remainder 4, not a factor
  • 480 ÷ 15 = 32 — factors 15 and 32
  • 480 ÷ 16 = 30 — factors 16 and 30
  • 480 ÷ 17 — remainder 4, not a factor
  • 480 ÷ 18 — remainder 12, not a factor
  • 480 ÷ 19 — remainder 5, not a factor
  • 480 ÷ 20 = 24 — factors 20 and 24
  • 480 ÷ 21 — remainder 18, not a factor

Why 480 has exactly 24 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.

480 = 25 × 3 × 5

(5 + 1) × (1 + 1) × (1 + 1) = 24

Step-by-step factorization: Prime factors of 480.

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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 480? (The answer is: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480). Pick the number (e.g. '480'). After that hit the 'Find' button.
The Factors of a number are numbers that divides initial number evenly, with no remainder
"Factors of a Number" Calculator

Factors of

Factors Table

NumberFactors
4651, 3, 5, 15, 31, 93, 155, 465
4661, 2, 233, 466
4671, 467
4681, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
4691, 7, 67, 469
4701, 2, 5, 10, 47, 94, 235, 470
4711, 3, 157, 471
4721, 2, 4, 8, 59, 118, 236, 472
4731, 11, 43, 473
4741, 2, 3, 6, 79, 158, 237, 474
4751, 5, 19, 25, 95, 475
4761, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
4771, 3, 9, 53, 159, 477
4781, 2, 239, 478
4791, 479
4801, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
4811, 13, 37, 481
4821, 2, 241, 482
4831, 3, 7, 21, 23, 69, 161, 483
4841, 2, 4, 11, 22, 44, 121, 242, 484
4851, 5, 97, 485
4861, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
4871, 487
4881, 2, 4, 8, 61, 122, 244, 488
4891, 3, 163, 489
4901, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
4911, 491
4921, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
4931, 17, 29, 493
4941, 2, 13, 19, 26, 38, 247, 494

FAQ

What are the Factors of 480?

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

How many factors does 480 have?

Number 480 has 24 factors

How many Factor Pairs does 480 have?

Number 480 has 12 factor pairs

See Also