Factors of 7748
The factors of 7748 are 1, 2, 4, 13, 26, 52, 149, 298, 596, 1937, 3874, 7748. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7748 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7748 ≈ 88.02; 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 + 4 + 13 + 26 + 52 + 149 + 298 + 596 + 1937 + 3874 + 7748 = 14700. Without 7748 itself that is 6952, so 7748 is a deficient number.
LaTeX source of the formulas on this page
\[ 7748 = 2^{2} \times 13 \times 149 \]Factor pairs of 7748
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7748 | 1 × 7748 = 7748 |
| 2 | 3874 | 2 × 3874 = 7748 |
| 4 | 1937 | 4 × 1937 = 7748 |
| 13 | 596 | 13 × 596 = 7748 |
| 26 | 298 | 26 × 298 = 7748 |
| 52 | 149 | 52 × 149 = 7748 |
Questions
What are the factors of 7748?
The factors of 7748 are 1, 2, 4, 13, 26, 52, 149, 298, 596, 1937, 3874, 7748. It has 12 factors.
What are the prime factors of 7748?
2, 13, 149. As a product: × 13 × 149.
How many factors does 7748 have?
7748 has 12 factors (6 factor pairs).
What is the sum of the factors of 7748?
14700.
Is 7748 a prime number?
No. It is divisible by 2, so 7748 = 2 × 3874.