Factors of 1496
The factors of 1496 are 1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1496 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1496 ≈ 38.68; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 3240. Without 1496 itself that is 1744, so 1496 is an abundant number.
LaTeX source of the formulas on this page
\[ 1496 = 2^{3} \times 11 \times 17 \]Factor pairs of 1496
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1496 | 1 × 1496 = 1496 |
| 2 | 748 | 2 × 748 = 1496 |
| 4 | 374 | 4 × 374 = 1496 |
| 8 | 187 | 8 × 187 = 1496 |
| 11 | 136 | 11 × 136 = 1496 |
| 17 | 88 | 17 × 88 = 1496 |
| 22 | 68 | 22 × 68 = 1496 |
| 34 | 44 | 34 × 44 = 1496 |
Questions
What are the factors of 1496?
The factors of 1496 are 1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496. It has 16 factors.
What are the prime factors of 1496?
2, 11, 17. As a product: × 11 × 17.
How many factors does 1496 have?
1496 has 16 factors (8 factor pairs).
What is the sum of the factors of 1496?
3240.
Is 1496 a prime number?
No. It is divisible by 2, so 1496 = 2 × 748.