Prime factorization of 725

Here you will see step by step solution of prime factorization of 725, how to find factors of 725, you will see all factors of 725, how many factors of 725 has? Factors of 725 are 1, 5, 25, 29, 145, 725, we can see that 725 has 6 factor and sum of all factors is 930.

  • All Factors of 725: 1, 5, 25, 29, 145, 725
  • Prime Factors of 725: 5 × 5 × 29
  • Prime Factorization of 725: 52 × 291
  • Sum of Factors of 725: 930
  • Is 725 prime number: No

How to find factors of 725 by Division Method?

To find the factors of 725 by division method, we need the find the all numbers between 1 to 725, which divide 725 with 0 remainder, then the number is factor of 725.

Pair factors of 725

  • 725/1 = 725 [ 1 × 725 (1, 725) 1 and 725 is pair factor of 725]
  • 725/5 = 145 [ 5 × 145 (5, 145) 5 and 145 is pair factor of 725]
  • 725/25 = 29 [ 25 × 29 (25, 29) 25 and 29 is pair factor of 725]
  • 725/29 = 25 [ 29 × 25 (29, 25) 29 and 25 is pair factor of 725]
  • 725/145 = 5 [ 145 × 5 (145, 5) 145 and 5 is pair factor of 725]
  • 725/725 = 1 [ 725 × 1 (725, 1) 725 and 1 is pair factor of 725]

As we checked numbers between 1 to 725 that are not leaving any remainder, hence we can say factors of 725 is 1, 5, 25, 29, 145, 725.

Also note that, in exponential form prime factorization of 725 is written as 52 × 291 and it is a composite number.

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We hope you understand that how to find factors of 725. Let's check some other examples of factors.

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