Factors of 150
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 150 is a whole number that divides it with nothing left over. You only need to test the numbers up to √150 ≈ 12.25; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 12 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 3 + 5 + 6 + 10 + 15 + 25 + 30 + 50 + 75 + 150 = 372. Without 150 itself that is 222, so 150 is an abundant number.
LaTeX source of the formulas on this page
\[ 150 = 2 \times 3 \times 5^{2} \]Factor pairs of 150
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 150 | 1 × 150 = 150 |
| 2 | 75 | 2 × 75 = 150 |
| 3 | 50 | 3 × 50 = 150 |
| 5 | 30 | 5 × 30 = 150 |
| 6 | 25 | 6 × 25 = 150 |
| 10 | 15 | 10 × 15 = 150 |
Questions
What are the factors of 150?
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150. It has 12 factors.
What are the prime factors of 150?
2, 3, 5. As a product: 2 × 3 × .
How many factors does 150 have?
150 has 12 factors (6 factor pairs).
What is the sum of the factors of 150?
372.
Is 150 a prime number?
No. It is divisible by 2, so 150 = 2 × 75.