# Prime factorization of 66

Here you will see step by step solution of prime factorization of 66, how to find factors of 66, you will see all factors of 66, how many factors of 66 has? Factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66, we can see that 66 has 8 factor and sum of all factors is 144.

• All Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
• Prime Factors of 66: 2 × 3 × 11
• Prime Factorization of 66: 21 × 31 × 111
• Sum of Factors of 66: 144
• Is 66 prime number: No

### How to find factors of 66 by Division Method?

To find the factors of 66 by division method, we need the find the all numbers between 1 to 66, which divide 66 with 0 remainder, then the number is factor of 66.

### Pair factors of 66

• 66/1 = 66 [ 1 × 66 (1, 66) 1 and 66 is pair factor of 66]
• 66/2 = 33 [ 2 × 33 (2, 33) 2 and 33 is pair factor of 66]
• 66/3 = 22 [ 3 × 22 (3, 22) 3 and 22 is pair factor of 66]
• 66/6 = 11 [ 6 × 11 (6, 11) 6 and 11 is pair factor of 66]
• 66/11 = 6 [ 11 × 6 (11, 6) 11 and 6 is pair factor of 66]
• 66/22 = 3 [ 22 × 3 (22, 3) 22 and 3 is pair factor of 66]
• 66/33 = 2 [ 33 × 2 (33, 2) 33 and 2 is pair factor of 66]
• 66/66 = 1 [ 66 × 1 (66, 1) 66 and 1 is pair factor of 66]

As we checked numbers between 1 to 66 that are not leaving any remainder, hence we can say factors of 66 is 1, 2, 3, 6, 11, 22, 33, 66.

Also note that, in exponential form prime factorization of 66 is written as 21 × 31 × 111 and it is a composite number.

#### Prime Factorization Calculator

We hope you understand that how to find factors of 66. Let's check some other examples of factors.