# Prime factorization of 126

Here you will see step by step solution of prime factorization of 126, how to find factors of 126, you will see all factors of 126, how many factors of 126 has? Factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, we can see that 126 has 12 factor and sum of all factors is 312.

• All Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
• Prime Factors of 126: 2 × 3 × 3 × 7
• Prime Factorization of 126: 21 × 32 × 71
• Sum of Factors of 126: 312
• Is 126 prime number: No

### How to find factors of 126 by Division Method?

To find the factors of 126 by division method, we need the find the all numbers between 1 to 126, which divide 126 with 0 remainder, then the number is factor of 126.

### Pair factors of 126

• 126/1 = 126 [ 1 × 126 (1, 126) 1 and 126 is pair factor of 126]
• 126/2 = 63 [ 2 × 63 (2, 63) 2 and 63 is pair factor of 126]
• 126/3 = 42 [ 3 × 42 (3, 42) 3 and 42 is pair factor of 126]
• 126/6 = 21 [ 6 × 21 (6, 21) 6 and 21 is pair factor of 126]
• 126/7 = 18 [ 7 × 18 (7, 18) 7 and 18 is pair factor of 126]
• 126/9 = 14 [ 9 × 14 (9, 14) 9 and 14 is pair factor of 126]
• 126/14 = 9 [ 14 × 9 (14, 9) 14 and 9 is pair factor of 126]
• 126/18 = 7 [ 18 × 7 (18, 7) 18 and 7 is pair factor of 126]
• 126/21 = 6 [ 21 × 6 (21, 6) 21 and 6 is pair factor of 126]
• 126/42 = 3 [ 42 × 3 (42, 3) 42 and 3 is pair factor of 126]
• 126/63 = 2 [ 63 × 2 (63, 2) 63 and 2 is pair factor of 126]
• 126/126 = 1 [ 126 × 1 (126, 1) 126 and 1 is pair factor of 126]

As we checked numbers between 1 to 126 that are not leaving any remainder, hence we can say factors of 126 is 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126.

Also note that, in exponential form prime factorization of 126 is written as 21 × 32 × 71 and it is a composite number.

#### Prime Factorization Calculator

We hope you understand that how to find factors of 126. Let's check some other examples of factors.