# Prime factorization of 42

Here you will see step by step solution of prime factorization of 42, how to find factors of 42, you will see all factors of 42, how many factors of 42 has? Factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42, we can see that 42 has 8 factor and sum of all factors is 96.

• All Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
• Prime Factors of 42: 2 × 3 × 7
• Prime Factorization of 42: 21 × 31 × 71
• Sum of Factors of 42: 96
• Is 42 prime number: No

### How to find factors of 42 by Division Method?

To find the factors of 42 by division method, we need the find the all numbers between 1 to 42, which divide 42 with 0 remainder, then the number is factor of 42.

### Pair factors of 42

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

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

Also note that, in exponential form prime factorization of 42 is written as 21 × 31 × 71 and it is a composite number.

#### Prime Factorization Calculator

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