# Prime factorization of 357

Here you will see step by step solution of prime factorization of 357, how to find factors of 357, you will see all factors of 357, how many factors of 357 has? Factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357, we can see that 357 has 8 factor and sum of all factors is 576.

• All Factors of 357: 1, 3, 7, 17, 21, 51, 119, 357
• Prime Factors of 357: 3 × 7 × 17
• Prime Factorization of 357: 31 × 71 × 171
• Sum of Factors of 357: 576
• Is 357 prime number: No

### How to find factors of 357 by Division Method?

To find the factors of 357 by division method, we need the find the all numbers between 1 to 357, which divide 357 with 0 remainder, then the number is factor of 357.

### Pair factors of 357

• 357/1 = 357 [ 1 × 357 (1, 357) 1 and 357 is pair factor of 357]
• 357/3 = 119 [ 3 × 119 (3, 119) 3 and 119 is pair factor of 357]
• 357/7 = 51 [ 7 × 51 (7, 51) 7 and 51 is pair factor of 357]
• 357/17 = 21 [ 17 × 21 (17, 21) 17 and 21 is pair factor of 357]
• 357/21 = 17 [ 21 × 17 (21, 17) 21 and 17 is pair factor of 357]
• 357/51 = 7 [ 51 × 7 (51, 7) 51 and 7 is pair factor of 357]
• 357/119 = 3 [ 119 × 3 (119, 3) 119 and 3 is pair factor of 357]
• 357/357 = 1 [ 357 × 1 (357, 1) 357 and 1 is pair factor of 357]

As we checked numbers between 1 to 357 that are not leaving any remainder, hence we can say factors of 357 is 1, 3, 7, 17, 21, 51, 119, 357.

Also note that, in exponential form prime factorization of 357 is written as 31 × 71 × 171 and it is a composite number.

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