Factors of 738
The factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 738 is a whole number that divides it with nothing left over. You only need to test the numbers up to √738 ≈ 27.17; 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 + 3 + 6 + 9 + 18 + 41 + 82 + 123 + 246 + 369 + 738 = 1638. Without 738 itself that is 900, so 738 is an abundant number.
LaTeX source of the formulas on this page
\[ 738 = 2 \times 3^{2} \times 41 \]Factor pairs of 738
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 738 | 1 × 738 = 738 |
| 2 | 369 | 2 × 369 = 738 |
| 3 | 246 | 3 × 246 = 738 |
| 6 | 123 | 6 × 123 = 738 |
| 9 | 82 | 9 × 82 = 738 |
| 18 | 41 | 18 × 41 = 738 |
Questions
What are the factors of 738?
The factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738. It has 12 factors.
What are the prime factors of 738?
2, 3, 41. As a product: 2 × × 41.
How many factors does 738 have?
738 has 12 factors (6 factor pairs).
What is the sum of the factors of 738?
1638.
Is 738 a prime number?
No. It is divisible by 2, so 738 = 2 × 369.