# Prime factorization of 352

Here you will see step by step solution of prime factorization of 352, how to find factors of 352, you will see all factors of 352, how many factors of 352 has? Factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352, we can see that 352 has 12 factor and sum of all factors is 756.

• All Factors of 352: 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
• Prime Factors of 352: 2 × 2 × 2 × 2 × 2 × 11
• Prime Factorization of 352: 25 × 111
• Sum of Factors of 352: 756
• Is 352 prime number: No

### How to find factors of 352 by Division Method?

To find the factors of 352 by division method, we need the find the all numbers between 1 to 352, which divide 352 with 0 remainder, then the number is factor of 352.

### Pair factors of 352

• 352/1 = 352 [ 1 × 352 (1, 352) 1 and 352 is pair factor of 352]
• 352/2 = 176 [ 2 × 176 (2, 176) 2 and 176 is pair factor of 352]
• 352/4 = 88 [ 4 × 88 (4, 88) 4 and 88 is pair factor of 352]
• 352/8 = 44 [ 8 × 44 (8, 44) 8 and 44 is pair factor of 352]
• 352/11 = 32 [ 11 × 32 (11, 32) 11 and 32 is pair factor of 352]
• 352/16 = 22 [ 16 × 22 (16, 22) 16 and 22 is pair factor of 352]
• 352/22 = 16 [ 22 × 16 (22, 16) 22 and 16 is pair factor of 352]
• 352/32 = 11 [ 32 × 11 (32, 11) 32 and 11 is pair factor of 352]
• 352/44 = 8 [ 44 × 8 (44, 8) 44 and 8 is pair factor of 352]
• 352/88 = 4 [ 88 × 4 (88, 4) 88 and 4 is pair factor of 352]
• 352/176 = 2 [ 176 × 2 (176, 2) 176 and 2 is pair factor of 352]
• 352/352 = 1 [ 352 × 1 (352, 1) 352 and 1 is pair factor of 352]

As we checked numbers between 1 to 352 that are not leaving any remainder, hence we can say factors of 352 is 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352.

Also note that, in exponential form prime factorization of 352 is written as 25 × 111 and it is a composite number.

#### Prime Factorization Calculator

We hope you understand that how to find factors of 352. Let's check some other examples of factors.