Factors of 5325
The factors of 5325 are 1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775, 5325. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5325 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5325 ≈ 72.97; 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 + 3 + 5 + 15 + 25 + 71 + 75 + 213 + 355 + 1065 + 1775 + 5325 = 8928. Without 5325 itself that is 3603, so 5325 is a deficient number.
LaTeX source of the formulas on this page
\[ 5325 = 3 \times 5^{2} \times 71 \]Factor pairs of 5325
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5325 | 1 × 5325 = 5325 |
| 3 | 1775 | 3 × 1775 = 5325 |
| 5 | 1065 | 5 × 1065 = 5325 |
| 15 | 355 | 15 × 355 = 5325 |
| 25 | 213 | 25 × 213 = 5325 |
| 71 | 75 | 71 × 75 = 5325 |
Questions
What are the factors of 5325?
The factors of 5325 are 1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775, 5325. It has 12 factors.
What are the prime factors of 5325?
3, 5, 71. As a product: 3 × × 71.
How many factors does 5325 have?
5325 has 12 factors (6 factor pairs).
What is the sum of the factors of 5325?
8928.
Is 5325 a prime number?
No. It is divisible by 3, so 5325 = 3 × 1775.