# Prime factorization of 208

Here you will see step by step solution of prime factorization of 208, how to find factors of 208, you will see all factors of 208, how many factors of 208 has? Factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208, we can see that 208 has 10 factor and sum of all factors is 434.

• All Factors of 208: 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
• Prime Factors of 208: 2 × 2 × 2 × 2 × 13
• Prime Factorization of 208: 24 × 131
• Sum of Factors of 208: 434
• Is 208 prime number: No

### How to find factors of 208 by Division Method?

To find the factors of 208 by division method, we need the find the all numbers between 1 to 208, which divide 208 with 0 remainder, then the number is factor of 208.

### Pair factors of 208

• 208/1 = 208 [ 1 × 208 (1, 208) 1 and 208 is pair factor of 208]
• 208/2 = 104 [ 2 × 104 (2, 104) 2 and 104 is pair factor of 208]
• 208/4 = 52 [ 4 × 52 (4, 52) 4 and 52 is pair factor of 208]
• 208/8 = 26 [ 8 × 26 (8, 26) 8 and 26 is pair factor of 208]
• 208/13 = 16 [ 13 × 16 (13, 16) 13 and 16 is pair factor of 208]
• 208/16 = 13 [ 16 × 13 (16, 13) 16 and 13 is pair factor of 208]
• 208/26 = 8 [ 26 × 8 (26, 8) 26 and 8 is pair factor of 208]
• 208/52 = 4 [ 52 × 4 (52, 4) 52 and 4 is pair factor of 208]
• 208/104 = 2 [ 104 × 2 (104, 2) 104 and 2 is pair factor of 208]
• 208/208 = 1 [ 208 × 1 (208, 1) 208 and 1 is pair factor of 208]

As we checked numbers between 1 to 208 that are not leaving any remainder, hence we can say factors of 208 is 1, 2, 4, 8, 13, 16, 26, 52, 104, 208.

Also note that, in exponential form prime factorization of 208 is written as 24 × 131 and it is a composite number.

#### Prime Factorization Calculator

We hope you understand that how to find factors of 208. Let's check some other examples of factors.