Factors of 742
The factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742. It has 8 factors.
Factors of 742
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 742 is a whole number that divides it with nothing left over. You only need to test the numbers up to √742 ≈ 27.24; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 7 + 14 + 53 + 106 + 371 + 742 = 1296. Without 742 itself that is 554, so 742 is a deficient number.
LaTeX source of the formulas on this page
\[ 742 = 2 \times 7 \times 53 \]
Factor pairs of 742
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 742 | 1 × 742 = 742 |
| 2 | 371 | 2 × 371 = 742 |
| 7 | 106 | 7 × 106 = 742 |
| 14 | 53 | 14 × 53 = 742 |
Questions
What are the factors of 742?
The factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742. It has 8 factors.
What are the prime factors of 742?
2, 7, 53. As a product: 2 × 7 × 53.
How many factors does 742 have?
742 has 8 factors (4 factor pairs).
What is the sum of the factors of 742?
1296.
Is 742 a prime number?
No. It is divisible by 2, so 742 = 2 × 371.