Factors of 500

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What are the Factors of 500?

Answer

Factors of 500:
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

(number 500 has 12 factors)

Factor Pairs of 500

A Factor Pair of number 500 is a combination of two factors which can be multiplied together to equal 500.

List of all possible Factor Pairs of 500:

  • 1 × 500 = 500
  • 2 × 250 = 500
  • 4 × 125 = 500
  • 5 × 100 = 500
  • 10 × 50 = 500
  • 20 × 25 = 500

How to find the Factors of 500

Divide 500 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 500, so any larger divisor would pair with a smaller one you have already checked.

  • 500 ÷ 1 = 500 — factors 1 and 500
  • 500 ÷ 2 = 250 — factors 2 and 250
  • 500 ÷ 3 — remainder 2, not a factor
  • 500 ÷ 4 = 125 — factors 4 and 125
  • 500 ÷ 5 = 100 — factors 5 and 100
  • 500 ÷ 6 — remainder 2, not a factor
  • 500 ÷ 7 — remainder 3, not a factor
  • 500 ÷ 8 — remainder 4, not a factor
  • 500 ÷ 9 — remainder 5, not a factor
  • 500 ÷ 10 = 50 — factors 10 and 50
  • 500 ÷ 11 — remainder 5, not a factor
  • 500 ÷ 12 — remainder 8, not a factor
  • 500 ÷ 13 — remainder 6, not a factor
  • 500 ÷ 14 — remainder 10, not a factor
  • 500 ÷ 15 — remainder 5, not a factor
  • 500 ÷ 16 — remainder 4, not a factor
  • 500 ÷ 17 — remainder 7, not a factor
  • 500 ÷ 18 — remainder 14, not a factor
  • 500 ÷ 19 — remainder 6, not a factor
  • 500 ÷ 20 = 25 — factors 20 and 25
  • 500 ÷ 21 — remainder 17, not a factor
  • 500 ÷ 22 — remainder 16, not a factor

Why 500 has exactly 12 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.

500 = 22 × 53

(2 + 1) × (3 + 1) = 12

Step-by-step factorization: Prime factors of 500.

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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 500? (The answer is: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500). Pick the number (e.g. '500'). 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
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
5031, 503
5041, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
5051, 5, 101, 505
5061, 2, 11, 22, 23, 46, 253, 506
5071, 3, 13, 39, 169, 507
5081, 2, 4, 127, 254, 508
5091, 509
5101, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
5111, 7, 73, 511
5121, 2, 4, 8, 16, 32, 64, 128, 256, 512
5131, 3, 9, 19, 27, 57, 171, 513
5141, 2, 257, 514

FAQ

What are the Factors of 500?

Factors of 500: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

How many factors does 500 have?

Number 500 has 12 factors

How many Factor Pairs does 500 have?

Number 500 has 6 factor pairs

See Also