Prime factorization of 975

Here you will see step by step solution of prime factorization of 975, how to find factors of 975, you will see all factors of 975, how many factors of 975 has? Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975, we can see that 975 has 12 factor and sum of all factors is 1736.

  • All Factors of 975: 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
  • Prime Factors of 975: 3 × 5 × 5 × 13
  • Prime Factorization of 975: 31 × 52 × 131
  • Sum of Factors of 975: 1736
  • Is 975 prime number: No

How to find factors of 975 by Division Method?

To find the factors of 975 by division method, we need the find the all numbers between 1 to 975, which divide 975 with 0 remainder, then the number is factor of 975.

Pair factors of 975

  • 975/1 = 975 [ 1 × 975 (1, 975) 1 and 975 is pair factor of 975]
  • 975/3 = 325 [ 3 × 325 (3, 325) 3 and 325 is pair factor of 975]
  • 975/5 = 195 [ 5 × 195 (5, 195) 5 and 195 is pair factor of 975]
  • 975/13 = 75 [ 13 × 75 (13, 75) 13 and 75 is pair factor of 975]
  • 975/15 = 65 [ 15 × 65 (15, 65) 15 and 65 is pair factor of 975]
  • 975/25 = 39 [ 25 × 39 (25, 39) 25 and 39 is pair factor of 975]
  • 975/39 = 25 [ 39 × 25 (39, 25) 39 and 25 is pair factor of 975]
  • 975/65 = 15 [ 65 × 15 (65, 15) 65 and 15 is pair factor of 975]
  • 975/75 = 13 [ 75 × 13 (75, 13) 75 and 13 is pair factor of 975]
  • 975/195 = 5 [ 195 × 5 (195, 5) 195 and 5 is pair factor of 975]
  • 975/325 = 3 [ 325 × 3 (325, 3) 325 and 3 is pair factor of 975]
  • 975/975 = 1 [ 975 × 1 (975, 1) 975 and 1 is pair factor of 975]

As we checked numbers between 1 to 975 that are not leaving any remainder, hence we can say factors of 975 is 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975.

Also note that, in exponential form prime factorization of 975 is written as 31 × 52 × 131 and it is a composite number.

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