# Prime factorization of 875

Here you will see step by step solution of prime factorization of 875, how to find factors of 875, you will see all factors of 875, how many factors of 875 has? Factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875, we can see that 875 has 8 factor and sum of all factors is 1248.

• All Factors of 875: 1, 5, 7, 25, 35, 125, 175, 875
• Prime Factors of 875: 5 × 5 × 5 × 7
• Prime Factorization of 875: 53 × 71
• Sum of Factors of 875: 1248
• Is 875 prime number: No

### How to find factors of 875 by Division Method?

To find the factors of 875 by division method, we need the find the all numbers between 1 to 875, which divide 875 with 0 remainder, then the number is factor of 875.

### Pair factors of 875

• 875/1 = 875 [ 1 × 875 (1, 875) 1 and 875 is pair factor of 875]
• 875/5 = 175 [ 5 × 175 (5, 175) 5 and 175 is pair factor of 875]
• 875/7 = 125 [ 7 × 125 (7, 125) 7 and 125 is pair factor of 875]
• 875/25 = 35 [ 25 × 35 (25, 35) 25 and 35 is pair factor of 875]
• 875/35 = 25 [ 35 × 25 (35, 25) 35 and 25 is pair factor of 875]
• 875/125 = 7 [ 125 × 7 (125, 7) 125 and 7 is pair factor of 875]
• 875/175 = 5 [ 175 × 5 (175, 5) 175 and 5 is pair factor of 875]
• 875/875 = 1 [ 875 × 1 (875, 1) 875 and 1 is pair factor of 875]

As we checked numbers between 1 to 875 that are not leaving any remainder, hence we can say factors of 875 is 1, 5, 7, 25, 35, 125, 175, 875.

Also note that, in exponential form prime factorization of 875 is written as 53 × 71 and it is a composite number.

#### Prime Factorization Calculator

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