Factors of 507

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What are the Factors of 507?

Answer

Factors of 507:
1, 3, 13, 39, 169, 507

(number 507 has 6 factors)

Factor Pairs of 507

A Factor Pair of number 507 is a combination of two factors which can be multiplied together to equal 507.

List of all possible Factor Pairs of 507:

  • 1 × 507 = 507
  • 3 × 169 = 507
  • 13 × 39 = 507

How to find the Factors of 507

Divide 507 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 507, so any larger divisor would pair with a smaller one you have already checked.

  • 507 ÷ 1 = 507 — factors 1 and 507
  • 507 ÷ 2 — remainder 1, not a factor
  • 507 ÷ 3 = 169 — factors 3 and 169
  • 507 ÷ 4 — remainder 3, not a factor
  • 507 ÷ 5 — remainder 2, not a factor
  • 507 ÷ 6 — remainder 3, not a factor
  • 507 ÷ 7 — remainder 3, not a factor
  • 507 ÷ 8 — remainder 3, not a factor
  • 507 ÷ 9 — remainder 3, not a factor
  • 507 ÷ 10 — remainder 7, not a factor
  • 507 ÷ 11 — remainder 1, not a factor
  • 507 ÷ 12 — remainder 3, not a factor
  • 507 ÷ 13 = 39 — factors 13 and 39
  • 507 ÷ 14 — remainder 3, not a factor
  • 507 ÷ 15 — remainder 12, not a factor
  • 507 ÷ 16 — remainder 11, not a factor
  • 507 ÷ 17 — remainder 14, not a factor
  • 507 ÷ 18 — remainder 3, not a factor
  • 507 ÷ 19 — remainder 13, not a factor
  • 507 ÷ 20 — remainder 7, not a factor
  • 507 ÷ 21 — remainder 3, not a factor
  • 507 ÷ 22 — remainder 1, not a factor

Why 507 has exactly 6 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.

507 = 3 × 132

(1 + 1) × (2 + 1) = 6

Step-by-step factorization: Prime factors of 507.

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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 507? (The answer is: 1, 3, 13, 39, 169, 507). Pick the number (e.g. '507'). 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
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
5151, 5, 103, 515
5161, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
5171, 11, 47, 517
5181, 2, 7, 14, 37, 74, 259, 518
5191, 3, 173, 519
5201, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
5211, 521

FAQ

What are the Factors of 507?

Factors of 507: 1, 3, 13, 39, 169, 507

How many factors does 507 have?

Number 507 has 6 factors

How many Factor Pairs does 507 have?

Number 507 has 3 factor pairs

See Also