Factors of 7504
The factors of 7504 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7504 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7504 ≈ 86.63; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 20 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 16864. Without 7504 itself that is 9360, so 7504 is an abundant number.
LaTeX source of the formulas on this page
\[ 7504 = 2^{4} \times 7 \times 67 \]Factor pairs of 7504
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7504 | 1 × 7504 = 7504 |
| 2 | 3752 | 2 × 3752 = 7504 |
| 4 | 1876 | 4 × 1876 = 7504 |
| 7 | 1072 | 7 × 1072 = 7504 |
| 8 | 938 | 8 × 938 = 7504 |
| 14 | 536 | 14 × 536 = 7504 |
| 16 | 469 | 16 × 469 = 7504 |
| 28 | 268 | 28 × 268 = 7504 |
| 56 | 134 | 56 × 134 = 7504 |
| 67 | 112 | 67 × 112 = 7504 |
Questions
What are the factors of 7504?
The factors of 7504 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504. It has 20 factors.
What are the prime factors of 7504?
2, 7, 67. As a product: × 7 × 67.
How many factors does 7504 have?
7504 has 20 factors (10 factor pairs).
What is the sum of the factors of 7504?
16864.
Is 7504 a prime number?
No. It is divisible by 2, so 7504 = 2 × 3752.