# Prime factorization of 238

Here you will see step by step solution of prime factorization of 238, how to find factors of 238, you will see all factors of 238, how many factors of 238 has? Factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238, we can see that 238 has 8 factor and sum of all factors is 432.

• All Factors of 238: 1, 2, 7, 14, 17, 34, 119, 238
• Prime Factors of 238: 2 × 7 × 17
• Prime Factorization of 238: 21 × 71 × 171
• Sum of Factors of 238: 432
• Is 238 prime number: No

### How to find factors of 238 by Division Method?

To find the factors of 238 by division method, we need the find the all numbers between 1 to 238, which divide 238 with 0 remainder, then the number is factor of 238.

### Pair factors of 238

• 238/1 = 238 [ 1 × 238 (1, 238) 1 and 238 is pair factor of 238]
• 238/2 = 119 [ 2 × 119 (2, 119) 2 and 119 is pair factor of 238]
• 238/7 = 34 [ 7 × 34 (7, 34) 7 and 34 is pair factor of 238]
• 238/14 = 17 [ 14 × 17 (14, 17) 14 and 17 is pair factor of 238]
• 238/17 = 14 [ 17 × 14 (17, 14) 17 and 14 is pair factor of 238]
• 238/34 = 7 [ 34 × 7 (34, 7) 34 and 7 is pair factor of 238]
• 238/119 = 2 [ 119 × 2 (119, 2) 119 and 2 is pair factor of 238]
• 238/238 = 1 [ 238 × 1 (238, 1) 238 and 1 is pair factor of 238]

As we checked numbers between 1 to 238 that are not leaving any remainder, hence we can say factors of 238 is 1, 2, 7, 14, 17, 34, 119, 238.

Also note that, in exponential form prime factorization of 238 is written as 21 × 71 × 171 and it is a composite number.

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