Factors of 420
The factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 420 is a whole number that divides it with nothing left over. You only need to test the numbers up to √420 ≈ 20.49; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 1344. Without 420 itself that is 924, so 420 is an abundant number.
LaTeX source of the formulas on this page
\[ 420 = 2^{2} \times 3 \times 5 \times 7 \]Factor pairs of 420
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 420 | 1 × 420 = 420 |
| 2 | 210 | 2 × 210 = 420 |
| 3 | 140 | 3 × 140 = 420 |
| 4 | 105 | 4 × 105 = 420 |
| 5 | 84 | 5 × 84 = 420 |
| 6 | 70 | 6 × 70 = 420 |
| 7 | 60 | 7 × 60 = 420 |
| 10 | 42 | 10 × 42 = 420 |
| 12 | 35 | 12 × 35 = 420 |
| 14 | 30 | 14 × 30 = 420 |
| 15 | 28 | 15 × 28 = 420 |
| 20 | 21 | 20 × 21 = 420 |
Questions
What are the factors of 420?
The factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420. It has 24 factors.
What are the prime factors of 420?
2, 3, 5, 7. As a product: × 3 × 5 × 7.
How many factors does 420 have?
420 has 24 factors (12 factor pairs).
What is the sum of the factors of 420?
1344.
Is 420 a prime number?
No. It is divisible by 2, so 420 = 2 × 210.