# Prime factorization of 825

Here you will see step by step solution of prime factorization of 825, how to find factors of 825, you will see all factors of 825, how many factors of 825 has? Factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825, we can see that 825 has 12 factor and sum of all factors is 1488.

• All Factors of 825: 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
• Prime Factors of 825: 3 × 5 × 5 × 11
• Prime Factorization of 825: 31 × 52 × 111
• Sum of Factors of 825: 1488
• Is 825 prime number: No

### How to find factors of 825 by Division Method?

To find the factors of 825 by division method, we need the find the all numbers between 1 to 825, which divide 825 with 0 remainder, then the number is factor of 825.

### Pair factors of 825

• 825/1 = 825 [ 1 × 825 (1, 825) 1 and 825 is pair factor of 825]
• 825/3 = 275 [ 3 × 275 (3, 275) 3 and 275 is pair factor of 825]
• 825/5 = 165 [ 5 × 165 (5, 165) 5 and 165 is pair factor of 825]
• 825/11 = 75 [ 11 × 75 (11, 75) 11 and 75 is pair factor of 825]
• 825/15 = 55 [ 15 × 55 (15, 55) 15 and 55 is pair factor of 825]
• 825/25 = 33 [ 25 × 33 (25, 33) 25 and 33 is pair factor of 825]
• 825/33 = 25 [ 33 × 25 (33, 25) 33 and 25 is pair factor of 825]
• 825/55 = 15 [ 55 × 15 (55, 15) 55 and 15 is pair factor of 825]
• 825/75 = 11 [ 75 × 11 (75, 11) 75 and 11 is pair factor of 825]
• 825/165 = 5 [ 165 × 5 (165, 5) 165 and 5 is pair factor of 825]
• 825/275 = 3 [ 275 × 3 (275, 3) 275 and 3 is pair factor of 825]
• 825/825 = 1 [ 825 × 1 (825, 1) 825 and 1 is pair factor of 825]

As we checked numbers between 1 to 825 that are not leaving any remainder, hence we can say factors of 825 is 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825.

Also note that, in exponential form prime factorization of 825 is written as 31 × 52 × 111 and it is a composite number.

#### Prime Factorization Calculator

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