Factors of 38
The factors of 38 are 1, 2, 19, 38. No, 38 is a composite number. Its prime factorization is 2 × 19.
Factor pairs of 38
Every factor has a partner that multiplies with it to give 38. Listing pairs from the outside in is the fastest way to find all the factors: once the two numbers in a pair meet in the middle, you have them all.
| Pair | Check |
|---|---|
| 1 and 38 | 1 × 38 = 38 |
| 2 and 19 | 2 × 19 = 38 |
Prime factorization of 38, step by step
Divide by the smallest prime that goes in evenly, then repeat on the result until you reach 1. The divisors you used are the prime factors.
| Step | Divide | Result |
|---|---|---|
| 1 | 38 ÷ 2 | 19 |
| 2 | 19 ÷ 19 | 1 |
So 38 = 2 × 19, written compactly as 2 × 19.
Divisibility checks for 38
The quick rules a student uses before dividing, applied to 38:
| Divisible by | Rule | For 38 | Result |
|---|---|---|---|
| 2 | last digit is even | last digit 8 | yes |
| 3 | digit sum divisible by 3 | digits add to 11 | no |
| 4 | last two digits divisible by 4 | 38 ÷ 4 | no |
| 5 | last digit is 0 or 5 | last digit 8 | no |
| 6 | divisible by both 2 and 3 | even, digit sum 11 | no |
| 8 | last three digits divisible by 8 | 38 ÷ 8 | no |
| 9 | digit sum divisible by 9 | digits add to 11 | no |
| 10 | last digit is 0 | last digit 8 | no |
Frequently Asked Questions
What are the factors of 38?
The factors of 38 are 1, 2, 19, 38.
Is 38 a prime number?
No, 38 is a composite number. Its prime factorization is 2 × 19.
How many factors does 38 have?
38 has 4 factors. You can get that count from the prime factorization without listing them: add 1 to each exponent in 2 × 19 and multiply -- (1+1) × (1+1) = 4.
Is 38 even or odd?
38 is even (2 is one of its factors).
What is the sum of the factors of 38?
1 + 2 + 19 + 38 = 60. Leaving out 38 itself, the proper factors add to 22, less than 38, so 38 is a deficient number.
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