# Prime factorization of 36

Here you will see step by step solution of prime factorization of 36, how to find factors of 36, you will see all factors of 36, how many factors of 36 has? Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36, we can see that 36 has 9 factor and sum of all factors is 91.

• All Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
• Prime Factors of 36: 2 × 2 × 3 × 3
• Prime Factorization of 36: 22 × 32
• Sum of Factors of 36: 91
• Is 36 prime number: No

### How to find factors of 36 by Division Method?

To find the factors of 36 by division method, we need the find the all numbers between 1 to 36, which divide 36 with 0 remainder, then the number is factor of 36.

### Pair factors of 36

• 36/1 = 36 [ 1 × 36 (1, 36) 1 and 36 is pair factor of 36]
• 36/2 = 18 [ 2 × 18 (2, 18) 2 and 18 is pair factor of 36]
• 36/3 = 12 [ 3 × 12 (3, 12) 3 and 12 is pair factor of 36]
• 36/4 = 9 [ 4 × 9 (4, 9) 4 and 9 is pair factor of 36]
• 36/6 = 6 [ 6 × 6 (6, 6) 6 and 6 is pair factor of 36]
• 36/9 = 4 [ 9 × 4 (9, 4) 9 and 4 is pair factor of 36]
• 36/12 = 3 [ 12 × 3 (12, 3) 12 and 3 is pair factor of 36]
• 36/18 = 2 [ 18 × 2 (18, 2) 18 and 2 is pair factor of 36]
• 36/36 = 1 [ 36 × 1 (36, 1) 36 and 1 is pair factor of 36]

As we checked numbers between 1 to 36 that are not leaving any remainder, hence we can say factors of 36 is 1, 2, 3, 4, 6, 9, 12, 18, 36.

Also note that, in exponential form prime factorization of 36 is written as 22 × 32 and it is a composite number.

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