Prime factorization of 504

Here you will see step by step solution of prime factorization of 504, how to find factors of 504, you will see all factors of 504, how many factors of 504 has? Factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504, we can see that 504 has 24 factor and sum of all factors is 1560.

  • All Factors of 504: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
  • Prime Factors of 504: 2 × 2 × 2 × 3 × 3 × 7
  • Prime Factorization of 504: 23 × 32 × 71
  • Sum of Factors of 504: 1560
  • Is 504 prime number: No

How to find factors of 504 by Division Method?

To find the factors of 504 by division method, we need the find the all numbers between 1 to 504, which divide 504 with 0 remainder, then the number is factor of 504.

Pair factors of 504

  • 504/1 = 504 [ 1 × 504 (1, 504) 1 and 504 is pair factor of 504]
  • 504/2 = 252 [ 2 × 252 (2, 252) 2 and 252 is pair factor of 504]
  • 504/3 = 168 [ 3 × 168 (3, 168) 3 and 168 is pair factor of 504]
  • 504/4 = 126 [ 4 × 126 (4, 126) 4 and 126 is pair factor of 504]
  • 504/6 = 84 [ 6 × 84 (6, 84) 6 and 84 is pair factor of 504]
  • 504/7 = 72 [ 7 × 72 (7, 72) 7 and 72 is pair factor of 504]
  • 504/8 = 63 [ 8 × 63 (8, 63) 8 and 63 is pair factor of 504]
  • 504/9 = 56 [ 9 × 56 (9, 56) 9 and 56 is pair factor of 504]
  • 504/12 = 42 [ 12 × 42 (12, 42) 12 and 42 is pair factor of 504]
  • 504/14 = 36 [ 14 × 36 (14, 36) 14 and 36 is pair factor of 504]
  • 504/18 = 28 [ 18 × 28 (18, 28) 18 and 28 is pair factor of 504]
  • 504/21 = 24 [ 21 × 24 (21, 24) 21 and 24 is pair factor of 504]
  • 504/24 = 21 [ 24 × 21 (24, 21) 24 and 21 is pair factor of 504]
  • 504/28 = 18 [ 28 × 18 (28, 18) 28 and 18 is pair factor of 504]
  • 504/36 = 14 [ 36 × 14 (36, 14) 36 and 14 is pair factor of 504]
  • 504/42 = 12 [ 42 × 12 (42, 12) 42 and 12 is pair factor of 504]
  • 504/56 = 9 [ 56 × 9 (56, 9) 56 and 9 is pair factor of 504]
  • 504/63 = 8 [ 63 × 8 (63, 8) 63 and 8 is pair factor of 504]
  • 504/72 = 7 [ 72 × 7 (72, 7) 72 and 7 is pair factor of 504]
  • 504/84 = 6 [ 84 × 6 (84, 6) 84 and 6 is pair factor of 504]
  • 504/126 = 4 [ 126 × 4 (126, 4) 126 and 4 is pair factor of 504]
  • 504/168 = 3 [ 168 × 3 (168, 3) 168 and 3 is pair factor of 504]
  • 504/252 = 2 [ 252 × 2 (252, 2) 252 and 2 is pair factor of 504]
  • 504/504 = 1 [ 504 × 1 (504, 1) 504 and 1 is pair factor of 504]

As we checked numbers between 1 to 504 that are not leaving any remainder, hence we can say factors of 504 is 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504.

Also note that, in exponential form prime factorization of 504 is written as 23 × 32 × 71 and it is a composite number.

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