Prime factorization of 375

Here you will see step by step solution of prime factorization of 375, how to find factors of 375, you will see all factors of 375, how many factors of 375 has? Factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375, we can see that 375 has 8 factor and sum of all factors is 624.

  • All Factors of 375: 1, 3, 5, 15, 25, 75, 125, 375
  • Prime Factors of 375: 3 × 5 × 5 × 5
  • Prime Factorization of 375: 31 × 53
  • Sum of Factors of 375: 624
  • Is 375 prime number: No

How to find factors of 375 by Division Method?

To find the factors of 375 by division method, we need the find the all numbers between 1 to 375, which divide 375 with 0 remainder, then the number is factor of 375.

Pair factors of 375

  • 375/1 = 375 [ 1 × 375 (1, 375) 1 and 375 is pair factor of 375]
  • 375/3 = 125 [ 3 × 125 (3, 125) 3 and 125 is pair factor of 375]
  • 375/5 = 75 [ 5 × 75 (5, 75) 5 and 75 is pair factor of 375]
  • 375/15 = 25 [ 15 × 25 (15, 25) 15 and 25 is pair factor of 375]
  • 375/25 = 15 [ 25 × 15 (25, 15) 25 and 15 is pair factor of 375]
  • 375/75 = 5 [ 75 × 5 (75, 5) 75 and 5 is pair factor of 375]
  • 375/125 = 3 [ 125 × 3 (125, 3) 125 and 3 is pair factor of 375]
  • 375/375 = 1 [ 375 × 1 (375, 1) 375 and 1 is pair factor of 375]

As we checked numbers between 1 to 375 that are not leaving any remainder, hence we can say factors of 375 is 1, 3, 5, 15, 25, 75, 125, 375.

Also note that, in exponential form prime factorization of 375 is written as 31 × 53 and it is a composite number.

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