# Prime factorization of 90

Here you will see step by step solution of prime factorization of 90, how to find factors of 90, you will see all factors of 90, how many factors of 90 has? Factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, we can see that 90 has 12 factor and sum of all factors is 234.

• All Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• Prime Factors of 90: 2 × 3 × 3 × 5
• Prime Factorization of 90: 21 × 32 × 51
• Sum of Factors of 90: 234
• Is 90 prime number: No

### How to find factors of 90 by Division Method?

To find the factors of 90 by division method, we need the find the all numbers between 1 to 90, which divide 90 with 0 remainder, then the number is factor of 90.

### Pair factors of 90

• 90/1 = 90 [ 1 × 90 (1, 90) 1 and 90 is pair factor of 90]
• 90/2 = 45 [ 2 × 45 (2, 45) 2 and 45 is pair factor of 90]
• 90/3 = 30 [ 3 × 30 (3, 30) 3 and 30 is pair factor of 90]
• 90/5 = 18 [ 5 × 18 (5, 18) 5 and 18 is pair factor of 90]
• 90/6 = 15 [ 6 × 15 (6, 15) 6 and 15 is pair factor of 90]
• 90/9 = 10 [ 9 × 10 (9, 10) 9 and 10 is pair factor of 90]
• 90/10 = 9 [ 10 × 9 (10, 9) 10 and 9 is pair factor of 90]
• 90/15 = 6 [ 15 × 6 (15, 6) 15 and 6 is pair factor of 90]
• 90/18 = 5 [ 18 × 5 (18, 5) 18 and 5 is pair factor of 90]
• 90/30 = 3 [ 30 × 3 (30, 3) 30 and 3 is pair factor of 90]
• 90/45 = 2 [ 45 × 2 (45, 2) 45 and 2 is pair factor of 90]
• 90/90 = 1 [ 90 × 1 (90, 1) 90 and 1 is pair factor of 90]

As we checked numbers between 1 to 90 that are not leaving any remainder, hence we can say factors of 90 is 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

Also note that, in exponential form prime factorization of 90 is written as 21 × 32 × 51 and it is a composite number.

#### Prime Factorization Calculator

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