Prime factorization of 315

Here you will see step by step solution of prime factorization of 315, how to find factors of 315, you will see all factors of 315, how many factors of 315 has? Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315, we can see that 315 has 12 factor and sum of all factors is 624.

  • All Factors of 315: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
  • Prime Factors of 315: 3 × 3 × 5 × 7
  • Prime Factorization of 315: 32 × 51 × 71
  • Sum of Factors of 315: 624
  • Is 315 prime number: No

How to find factors of 315 by Division Method?

To find the factors of 315 by division method, we need the find the all numbers between 1 to 315, which divide 315 with 0 remainder, then the number is factor of 315.

Pair factors of 315

  • 315/1 = 315 [ 1 × 315 (1, 315) 1 and 315 is pair factor of 315]
  • 315/3 = 105 [ 3 × 105 (3, 105) 3 and 105 is pair factor of 315]
  • 315/5 = 63 [ 5 × 63 (5, 63) 5 and 63 is pair factor of 315]
  • 315/7 = 45 [ 7 × 45 (7, 45) 7 and 45 is pair factor of 315]
  • 315/9 = 35 [ 9 × 35 (9, 35) 9 and 35 is pair factor of 315]
  • 315/15 = 21 [ 15 × 21 (15, 21) 15 and 21 is pair factor of 315]
  • 315/21 = 15 [ 21 × 15 (21, 15) 21 and 15 is pair factor of 315]
  • 315/35 = 9 [ 35 × 9 (35, 9) 35 and 9 is pair factor of 315]
  • 315/45 = 7 [ 45 × 7 (45, 7) 45 and 7 is pair factor of 315]
  • 315/63 = 5 [ 63 × 5 (63, 5) 63 and 5 is pair factor of 315]
  • 315/105 = 3 [ 105 × 3 (105, 3) 105 and 3 is pair factor of 315]
  • 315/315 = 1 [ 315 × 1 (315, 1) 315 and 1 is pair factor of 315]

As we checked numbers between 1 to 315 that are not leaving any remainder, hence we can say factors of 315 is 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315.

Also note that, in exponential form prime factorization of 315 is written as 32 × 51 × 71 and it is a composite number.

Prime Factorization Calculator

We hope you understand that how to find factors of 315. Let's check some other examples of factors.

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