Factors of 1407
The factors of 1407 are 1, 3, 7, 21, 67, 201, 469, 1407. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1407 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1407 ≈ 37.51; 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 + 3 + 7 + 21 + 67 + 201 + 469 + 1407 = 2176. Without 1407 itself that is 769, so 1407 is a deficient number.
LaTeX source of the formulas on this page
\[ 1407 = 3 \times 7 \times 67 \]
Factor pairs of 1407
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1407 | 1 × 1407 = 1407 |
| 3 | 469 | 3 × 469 = 1407 |
| 7 | 201 | 7 × 201 = 1407 |
| 21 | 67 | 21 × 67 = 1407 |
Questions
What are the factors of 1407?
The factors of 1407 are 1, 3, 7, 21, 67, 201, 469, 1407. It has 8 factors.
What are the prime factors of 1407?
3, 7, 67. As a product: 3 × 7 × 67.
How many factors does 1407 have?
1407 has 8 factors (4 factor pairs).
What is the sum of the factors of 1407?
2176.
Is 1407 a prime number?
No. It is divisible by 3, so 1407 = 3 × 469.