Factors of 364
The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 364 is a whole number that divides it with nothing left over. You only need to test the numbers up to √364 ≈ 19.08; 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 + 7 + 13 + 14 + 26 + 28 + 52 + 91 + 182 + 364 = 784. Without 364 itself that is 420, so 364 is an abundant number.
LaTeX source of the formulas on this page
\[ 364 = 2^{2} \times 7 \times 13 \]Factor pairs of 364
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 364 | 1 × 364 = 364 |
| 2 | 182 | 2 × 182 = 364 |
| 4 | 91 | 4 × 91 = 364 |
| 7 | 52 | 7 × 52 = 364 |
| 13 | 28 | 13 × 28 = 364 |
| 14 | 26 | 14 × 26 = 364 |
Questions
What are the factors of 364?
The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364. It has 12 factors.
What are the prime factors of 364?
2, 7, 13. As a product: × 7 × 13.
How many factors does 364 have?
364 has 12 factors (6 factor pairs).
What is the sum of the factors of 364?
784.
Is 364 a prime number?
No. It is divisible by 2, so 364 = 2 × 182.