Factors of 7448
The factors of 7448 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 49, 56, 76, 98, 133, 152, 196, 266, 392, 532, 931, 1064, 1862, 3724, 7448. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7448 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7448 ≈ 86.30; 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 17100. Without 7448 itself that is 9652, so 7448 is an abundant number.
LaTeX source of the formulas on this page
\[ 7448 = 2^{3} \times 7^{2} \times 19 \]Factor pairs of 7448
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7448 | 1 × 7448 = 7448 |
| 2 | 3724 | 2 × 3724 = 7448 |
| 4 | 1862 | 4 × 1862 = 7448 |
| 7 | 1064 | 7 × 1064 = 7448 |
| 8 | 931 | 8 × 931 = 7448 |
| 14 | 532 | 14 × 532 = 7448 |
| 19 | 392 | 19 × 392 = 7448 |
| 28 | 266 | 28 × 266 = 7448 |
| 38 | 196 | 38 × 196 = 7448 |
| 49 | 152 | 49 × 152 = 7448 |
| 56 | 133 | 56 × 133 = 7448 |
| 76 | 98 | 76 × 98 = 7448 |
Questions
What are the factors of 7448?
The factors of 7448 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 49, 56, 76, 98, 133, 152, 196, 266, 392, 532, 931, 1064, 1862, 3724, 7448. It has 24 factors.
What are the prime factors of 7448?
2, 7, 19. As a product: × × 19.
How many factors does 7448 have?
7448 has 24 factors (12 factor pairs).
What is the sum of the factors of 7448?
17100.
Is 7448 a prime number?
No. It is divisible by 2, so 7448 = 2 × 3724.