Factors of 488

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Factors of

What are the Factors of 488?

Answer

Factors of 488:
1, 2, 4, 8, 61, 122, 244, 488

(number 488 has 8 factors)

Factor Pairs of 488

A Factor Pair of number 488 is a combination of two factors which can be multiplied together to equal 488.

List of all possible Factor Pairs of 488:

  • 1 × 488 = 488
  • 2 × 244 = 488
  • 4 × 122 = 488
  • 8 × 61 = 488

How to find the Factors of 488

Divide 488 by every whole number from 1 up to 22. Each division without a remainder gives a factor and its pair. There is no point going further: 23 × 23 = 529 is already greater than 488, so any larger divisor would pair with a smaller one you have already checked.

  • 488 ÷ 1 = 488 — factors 1 and 488
  • 488 ÷ 2 = 244 — factors 2 and 244
  • 488 ÷ 3 — remainder 2, not a factor
  • 488 ÷ 4 = 122 — factors 4 and 122
  • 488 ÷ 5 — remainder 3, not a factor
  • 488 ÷ 6 — remainder 2, not a factor
  • 488 ÷ 7 — remainder 5, not a factor
  • 488 ÷ 8 = 61 — factors 8 and 61
  • 488 ÷ 9 — remainder 2, not a factor
  • 488 ÷ 10 — remainder 8, not a factor
  • 488 ÷ 11 — remainder 4, not a factor
  • 488 ÷ 12 — remainder 8, not a factor
  • 488 ÷ 13 — remainder 7, not a factor
  • 488 ÷ 14 — remainder 12, not a factor
  • 488 ÷ 15 — remainder 8, not a factor
  • 488 ÷ 16 — remainder 8, not a factor
  • 488 ÷ 17 — remainder 12, not a factor
  • 488 ÷ 18 — remainder 2, not a factor
  • 488 ÷ 19 — remainder 13, not a factor
  • 488 ÷ 20 — remainder 8, not a factor
  • 488 ÷ 21 — remainder 5, not a factor
  • 488 ÷ 22 — remainder 4, not a factor

Why 488 has exactly 8 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.

488 = 23 × 61

(3 + 1) × (1 + 1) = 8

Step-by-step factorization: Prime factors of 488.

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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 488? (The answer is: 1, 2, 4, 8, 61, 122, 244, 488). Pick the number (e.g. '488'). 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
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
4951, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
4961, 2, 4, 8, 16, 31, 62, 124, 248, 496
4971, 7, 71, 497
4981, 2, 3, 6, 83, 166, 249, 498
4991, 499
5001, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
5011, 3, 167, 501
5021, 2, 251, 502

FAQ

What are the Factors of 488?

Factors of 488: 1, 2, 4, 8, 61, 122, 244, 488

How many factors does 488 have?

Number 488 has 8 factors

How many Factor Pairs does 488 have?

Number 488 has 4 factor pairs

See Also