Factors of 1176
The factors of 1176 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1176 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1176 ≈ 34.29; 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 3420. Without 1176 itself that is 2244, so 1176 is an abundant number.
LaTeX source of the formulas on this page
\[ 1176 = 2^{3} \times 3 \times 7^{2} \]Factor pairs of 1176
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1176 | 1 × 1176 = 1176 |
| 2 | 588 | 2 × 588 = 1176 |
| 3 | 392 | 3 × 392 = 1176 |
| 4 | 294 | 4 × 294 = 1176 |
| 6 | 196 | 6 × 196 = 1176 |
| 7 | 168 | 7 × 168 = 1176 |
| 8 | 147 | 8 × 147 = 1176 |
| 12 | 98 | 12 × 98 = 1176 |
| 14 | 84 | 14 × 84 = 1176 |
| 21 | 56 | 21 × 56 = 1176 |
| 24 | 49 | 24 × 49 = 1176 |
| 28 | 42 | 28 × 42 = 1176 |
Questions
What are the factors of 1176?
The factors of 1176 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176. It has 24 factors.
What are the prime factors of 1176?
2, 3, 7. As a product: × 3 × .
How many factors does 1176 have?
1176 has 24 factors (12 factor pairs).
What is the sum of the factors of 1176?
3420.
Is 1176 a prime number?
No. It is divisible by 2, so 1176 = 2 × 588.