# Prime factorization of 338

Here you will see step by step solution of prime factorization of 338, how to find factors of 338, you will see all factors of 338, how many factors of 338 has? Factors of 338 are 1, 2, 13, 26, 169, 338, we can see that 338 has 6 factor and sum of all factors is 549.

• All Factors of 338: 1, 2, 13, 26, 169, 338
• Prime Factors of 338: 2 × 13 × 13
• Prime Factorization of 338: 21 × 132
• Sum of Factors of 338: 549
• Is 338 prime number: No

### How to find factors of 338 by Division Method?

To find the factors of 338 by division method, we need the find the all numbers between 1 to 338, which divide 338 with 0 remainder, then the number is factor of 338.

### Pair factors of 338

• 338/1 = 338 [ 1 × 338 (1, 338) 1 and 338 is pair factor of 338]
• 338/2 = 169 [ 2 × 169 (2, 169) 2 and 169 is pair factor of 338]
• 338/13 = 26 [ 13 × 26 (13, 26) 13 and 26 is pair factor of 338]
• 338/26 = 13 [ 26 × 13 (26, 13) 26 and 13 is pair factor of 338]
• 338/169 = 2 [ 169 × 2 (169, 2) 169 and 2 is pair factor of 338]
• 338/338 = 1 [ 338 × 1 (338, 1) 338 and 1 is pair factor of 338]

As we checked numbers between 1 to 338 that are not leaving any remainder, hence we can say factors of 338 is 1, 2, 13, 26, 169, 338.

Also note that, in exponential form prime factorization of 338 is written as 21 × 132 and it is a composite number.

#### Prime Factorization Calculator

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