# Prime factorization of 351

Here you will see step by step solution of prime factorization of 351, how to find factors of 351, you will see all factors of 351, how many factors of 351 has? Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351, we can see that 351 has 8 factor and sum of all factors is 560.

• All Factors of 351: 1, 3, 9, 13, 27, 39, 117, 351
• Prime Factors of 351: 3 × 3 × 3 × 13
• Prime Factorization of 351: 33 × 131
• Sum of Factors of 351: 560
• Is 351 prime number: No

### How to find factors of 351 by Division Method?

To find the factors of 351 by division method, we need the find the all numbers between 1 to 351, which divide 351 with 0 remainder, then the number is factor of 351.

### Pair factors of 351

• 351/1 = 351 [ 1 × 351 (1, 351) 1 and 351 is pair factor of 351]
• 351/3 = 117 [ 3 × 117 (3, 117) 3 and 117 is pair factor of 351]
• 351/9 = 39 [ 9 × 39 (9, 39) 9 and 39 is pair factor of 351]
• 351/13 = 27 [ 13 × 27 (13, 27) 13 and 27 is pair factor of 351]
• 351/27 = 13 [ 27 × 13 (27, 13) 27 and 13 is pair factor of 351]
• 351/39 = 9 [ 39 × 9 (39, 9) 39 and 9 is pair factor of 351]
• 351/117 = 3 [ 117 × 3 (117, 3) 117 and 3 is pair factor of 351]
• 351/351 = 1 [ 351 × 1 (351, 1) 351 and 1 is pair factor of 351]

As we checked numbers between 1 to 351 that are not leaving any remainder, hence we can say factors of 351 is 1, 3, 9, 13, 27, 39, 117, 351.

Also note that, in exponential form prime factorization of 351 is written as 33 × 131 and it is a composite number.

#### Prime Factorization Calculator

We hope you understand that how to find factors of 351. Let's check some other examples of factors.