Factors of 100
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. It has 9 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 100 is a whole number that divides it with nothing left over. You only need to test the numbers up to ā100 ā 10.00; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 9 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 4 + 5 + 10 + 20 + 25 + 50 + 100 = 217. Without 100 itself that is 117, so 100 is an abundant number.
LaTeX source of the formulas on this page
\[ 100 = 2^{2} \times 5^{2} \]Factor pairs of 100
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 100 | 1 Ć 100 = 100 |
| 2 | 50 | 2 Ć 50 = 100 |
| 4 | 25 | 4 Ć 25 = 100 |
| 5 | 20 | 5 Ć 20 = 100 |
| 10 | 10 | 10 Ć 10 = 100 |
Questions
What are the factors of 100?
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. It has 9 factors.
What are the prime factors of 100?
2, 5. As a product: Ć .
How many factors does 100 have?
100 has 9 factors (5 factor pairs, one of them 10 Ć 10).
What is the sum of the factors of 100?
217.
Is 100 a prime number?
No. It is divisible by 2, so 100 = 2 Ć 50.