# Prime factorization of 138

Here you will see step by step solution of prime factorization of 138, how to find factors of 138, you will see all factors of 138, how many factors of 138 has? Factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138, we can see that 138 has 8 factor and sum of all factors is 288.

• All Factors of 138: 1, 2, 3, 6, 23, 46, 69, 138
• Prime Factors of 138: 2 × 3 × 23
• Prime Factorization of 138: 21 × 31 × 231
• Sum of Factors of 138: 288
• Is 138 prime number: No

### How to find factors of 138 by Division Method?

To find the factors of 138 by division method, we need the find the all numbers between 1 to 138, which divide 138 with 0 remainder, then the number is factor of 138.

### Pair factors of 138

• 138/1 = 138 [ 1 × 138 (1, 138) 1 and 138 is pair factor of 138]
• 138/2 = 69 [ 2 × 69 (2, 69) 2 and 69 is pair factor of 138]
• 138/3 = 46 [ 3 × 46 (3, 46) 3 and 46 is pair factor of 138]
• 138/6 = 23 [ 6 × 23 (6, 23) 6 and 23 is pair factor of 138]
• 138/23 = 6 [ 23 × 6 (23, 6) 23 and 6 is pair factor of 138]
• 138/46 = 3 [ 46 × 3 (46, 3) 46 and 3 is pair factor of 138]
• 138/69 = 2 [ 69 × 2 (69, 2) 69 and 2 is pair factor of 138]
• 138/138 = 1 [ 138 × 1 (138, 1) 138 and 1 is pair factor of 138]

As we checked numbers between 1 to 138 that are not leaving any remainder, hence we can say factors of 138 is 1, 2, 3, 6, 23, 46, 69, 138.

Also note that, in exponential form prime factorization of 138 is written as 21 × 31 × 231 and it is a composite number.

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