# Prime factorization of 75

Here you will see step by step solution of prime factorization of 75, how to find factors of 75, you will see all factors of 75, how many factors of 75 has? Factors of 75 are 1, 3, 5, 15, 25, 75, we can see that 75 has 6 factor and sum of all factors is 124.

• All Factors of 75: 1, 3, 5, 15, 25, 75
• Prime Factors of 75: 3 × 5 × 5
• Prime Factorization of 75: 31 × 52
• Sum of Factors of 75: 124
• Is 75 prime number: No

### How to find factors of 75 by Division Method?

To find the factors of 75 by division method, we need the find the all numbers between 1 to 75, which divide 75 with 0 remainder, then the number is factor of 75.

### Pair factors of 75

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

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

Also note that, in exponential form prime factorization of 75 is written as 31 × 52 and it is a composite number.

#### Prime Factorization Calculator

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