# Prime factorization of 45

Here you will see step by step solution of prime factorization of 45, how to find factors of 45, you will see all factors of 45, how many factors of 45 has? Factors of 45 are 1, 3, 5, 9, 15, 45, we can see that 45 has 6 factor and sum of all factors is 78.

• All Factors of 45: 1, 3, 5, 9, 15, 45
• Prime Factors of 45: 3 × 3 × 5
• Prime Factorization of 45: 32 × 51
• Sum of Factors of 45: 78
• Is 45 prime number: No

### How to find factors of 45 by Division Method?

To find the factors of 45 by division method, we need the find the all numbers between 1 to 45, which divide 45 with 0 remainder, then the number is factor of 45.

### Pair factors of 45

• 45/1 = 45 [ 1 × 45 (1, 45) 1 and 45 is pair factor of 45]
• 45/3 = 15 [ 3 × 15 (3, 15) 3 and 15 is pair factor of 45]
• 45/5 = 9 [ 5 × 9 (5, 9) 5 and 9 is pair factor of 45]
• 45/9 = 5 [ 9 × 5 (9, 5) 9 and 5 is pair factor of 45]
• 45/15 = 3 [ 15 × 3 (15, 3) 15 and 3 is pair factor of 45]
• 45/45 = 1 [ 45 × 1 (45, 1) 45 and 1 is pair factor of 45]

As we checked numbers between 1 to 45 that are not leaving any remainder, hence we can say factors of 45 is 1, 3, 5, 9, 15, 45.

Also note that, in exponential form prime factorization of 45 is written as 32 × 51 and it is a composite number.

#### Prime Factorization Calculator

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