# Prime factorization of 150

Here you will see step by step solution of prime factorization of 150, how to find factors of 150, you will see all factors of 150, how many factors of 150 has? Factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, we can see that 150 has 12 factor and sum of all factors is 372.

• All Factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
• Prime Factors of 150: 2 × 3 × 5 × 5
• Prime Factorization of 150: 21 × 31 × 52
• Sum of Factors of 150: 372
• Is 150 prime number: No

### How to find factors of 150 by Division Method?

To find the factors of 150 by division method, we need the find the all numbers between 1 to 150, which divide 150 with 0 remainder, then the number is factor of 150.

### Pair factors of 150

• 150/1 = 150 [ 1 × 150 (1, 150) 1 and 150 is pair factor of 150]
• 150/2 = 75 [ 2 × 75 (2, 75) 2 and 75 is pair factor of 150]
• 150/3 = 50 [ 3 × 50 (3, 50) 3 and 50 is pair factor of 150]
• 150/5 = 30 [ 5 × 30 (5, 30) 5 and 30 is pair factor of 150]
• 150/6 = 25 [ 6 × 25 (6, 25) 6 and 25 is pair factor of 150]
• 150/10 = 15 [ 10 × 15 (10, 15) 10 and 15 is pair factor of 150]
• 150/15 = 10 [ 15 × 10 (15, 10) 15 and 10 is pair factor of 150]
• 150/25 = 6 [ 25 × 6 (25, 6) 25 and 6 is pair factor of 150]
• 150/30 = 5 [ 30 × 5 (30, 5) 30 and 5 is pair factor of 150]
• 150/50 = 3 [ 50 × 3 (50, 3) 50 and 3 is pair factor of 150]
• 150/75 = 2 [ 75 × 2 (75, 2) 75 and 2 is pair factor of 150]
• 150/150 = 1 [ 150 × 1 (150, 1) 150 and 1 is pair factor of 150]

As we checked numbers between 1 to 150 that are not leaving any remainder, hence we can say factors of 150 is 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150.

Also note that, in exponential form prime factorization of 150 is written as 21 × 31 × 52 and it is a composite number.

#### Prime Factorization Calculator

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