# Prime factorization of 165

Here you will see step by step solution of prime factorization of 165, how to find factors of 165, you will see all factors of 165, how many factors of 165 has? Factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165, we can see that 165 has 8 factor and sum of all factors is 288.

• All Factors of 165: 1, 3, 5, 11, 15, 33, 55, 165
• Prime Factors of 165: 3 × 5 × 11
• Prime Factorization of 165: 31 × 51 × 111
• Sum of Factors of 165: 288
• Is 165 prime number: No

### How to find factors of 165 by Division Method?

To find the factors of 165 by division method, we need the find the all numbers between 1 to 165, which divide 165 with 0 remainder, then the number is factor of 165.

### Pair factors of 165

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

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

Also note that, in exponential form prime factorization of 165 is written as 31 × 51 × 111 and it is a composite number.

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