Factors of 756
The factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 756 is a whole number that divides it with nothing left over. You only need to test the numbers up to √756 ≈ 27.50; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 2240. Without 756 itself that is 1484, so 756 is an abundant number.
LaTeX source of the formulas on this page
\[ 756 = 2^{2} \times 3^{3} \times 7 \]Factor pairs of 756
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 756 | 1 × 756 = 756 |
| 2 | 378 | 2 × 378 = 756 |
| 3 | 252 | 3 × 252 = 756 |
| 4 | 189 | 4 × 189 = 756 |
| 6 | 126 | 6 × 126 = 756 |
| 7 | 108 | 7 × 108 = 756 |
| 9 | 84 | 9 × 84 = 756 |
| 12 | 63 | 12 × 63 = 756 |
| 14 | 54 | 14 × 54 = 756 |
| 18 | 42 | 18 × 42 = 756 |
| 21 | 36 | 21 × 36 = 756 |
| 27 | 28 | 27 × 28 = 756 |
Questions
What are the factors of 756?
The factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756. It has 24 factors.
What are the prime factors of 756?
2, 3, 7. As a product: × × 7.
How many factors does 756 have?
756 has 24 factors (12 factor pairs).
What is the sum of the factors of 756?
2240.
Is 756 a prime number?
No. It is divisible by 2, so 756 = 2 × 378.