Prime factorization of 225

Here you will see step by step solution of prime factorization of 225, how to find factors of 225, you will see all factors of 225, how many factors of 225 has? Factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225, we can see that 225 has 9 factor and sum of all factors is 403.

  • All Factors of 225: 1, 3, 5, 9, 15, 25, 45, 75, 225
  • Prime Factors of 225: 3 × 3 × 5 × 5
  • Prime Factorization of 225: 32 × 52
  • Sum of Factors of 225: 403
  • Is 225 prime number: No

How to find factors of 225 by Division Method?

To find the factors of 225 by division method, we need the find the all numbers between 1 to 225, which divide 225 with 0 remainder, then the number is factor of 225.

Pair factors of 225

  • 225/1 = 225 [ 1 × 225 (1, 225) 1 and 225 is pair factor of 225]
  • 225/3 = 75 [ 3 × 75 (3, 75) 3 and 75 is pair factor of 225]
  • 225/5 = 45 [ 5 × 45 (5, 45) 5 and 45 is pair factor of 225]
  • 225/9 = 25 [ 9 × 25 (9, 25) 9 and 25 is pair factor of 225]
  • 225/15 = 15 [ 15 × 15 (15, 15) 15 and 15 is pair factor of 225]
  • 225/25 = 9 [ 25 × 9 (25, 9) 25 and 9 is pair factor of 225]
  • 225/45 = 5 [ 45 × 5 (45, 5) 45 and 5 is pair factor of 225]
  • 225/75 = 3 [ 75 × 3 (75, 3) 75 and 3 is pair factor of 225]
  • 225/225 = 1 [ 225 × 1 (225, 1) 225 and 1 is pair factor of 225]

As we checked numbers between 1 to 225 that are not leaving any remainder, hence we can say factors of 225 is 1, 3, 5, 9, 15, 25, 45, 75, 225.

Also note that, in exponential form prime factorization of 225 is written as 32 × 52 and it is a composite number.

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We hope you understand that how to find factors of 225. Let's check some other examples of factors.

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