Factors of 138
The factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138. It has 8 factors.
Factors of 138
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 138 is a whole number that divides it with nothing left over. You only need to test the numbers up to √138 ≈ 11.75; 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 + 3 + 6 + 23 + 46 + 69 + 138 = 288. Without 138 itself that is 150, so 138 is an abundant number.
LaTeX source of the formulas on this page
\[ 138 = 2 \times 3 \times 23 \]
Factor pairs of 138
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 138 | 1 × 138 = 138 |
| 2 | 69 | 2 × 69 = 138 |
| 3 | 46 | 3 × 46 = 138 |
| 6 | 23 | 6 × 23 = 138 |
Questions
What are the factors of 138?
The factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138. It has 8 factors.
What are the prime factors of 138?
2, 3, 23. As a product: 2 × 3 × 23.
How many factors does 138 have?
138 has 8 factors (4 factor pairs).
What is the sum of the factors of 138?
288.
Is 138 a prime number?
No. It is divisible by 2, so 138 = 2 × 69.