Factors of 69
The factors of 69 are 1, 3, 23, 69. No, 69 is a composite number. Its prime factorization is 3 × 23.
Factor pairs of 69
Every factor has a partner that multiplies with it to give 69. 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 69 | 1 × 69 = 69 |
| 3 and 23 | 3 × 23 = 69 |
Prime factorization of 69, 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 | 69 ÷ 3 | 23 |
| 2 | 23 ÷ 23 | 1 |
So 69 = 3 × 23, written compactly as 3 × 23.
Divisibility checks for 69
The quick rules a student uses before dividing, applied to 69:
| Divisible by | Rule | For 69 | Result |
|---|---|---|---|
| 2 | last digit is even | last digit 9 | no |
| 3 | digit sum divisible by 3 | digits add to 15 | yes |
| 4 | last two digits divisible by 4 | 69 ÷ 4 | no |
| 5 | last digit is 0 or 5 | last digit 9 | no |
| 6 | divisible by both 2 and 3 | odd, digit sum 15 | no |
| 8 | last three digits divisible by 8 | 69 ÷ 8 | no |
| 9 | digit sum divisible by 9 | digits add to 15 | no |
| 10 | last digit is 0 | last digit 9 | no |
Frequently Asked Questions
What are the factors of 69?
The factors of 69 are 1, 3, 23, 69.
Is 69 a prime number?
No, 69 is a composite number. Its prime factorization is 3 × 23.
How many factors does 69 have?
69 has 4 factors. You can get that count from the prime factorization without listing them: add 1 to each exponent in 3 × 23 and multiply -- (1+1) × (1+1) = 4.
Is 69 even or odd?
69 is odd (2 is not a factor).
What is the sum of the factors of 69?
1 + 3 + 23 + 69 = 96. Leaving out 69 itself, the proper factors add to 27, less than 69, so 69 is a deficient number.
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