Factors of 88
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88. No, 88 is a composite number. Its prime factorization is 2^3 × 11.
Factor pairs of 88
Every factor has a partner that multiplies with it to give 88. 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 88 | 1 × 88 = 88 |
| 2 and 44 | 2 × 44 = 88 |
| 4 and 22 | 4 × 22 = 88 |
| 8 and 11 | 8 × 11 = 88 |
Prime factorization of 88, 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 | 88 ÷ 2 | 44 |
| 2 | 44 ÷ 2 | 22 |
| 3 | 22 ÷ 2 | 11 |
| 4 | 11 ÷ 11 | 1 |
So 88 = 2 × 2 × 2 × 11, written compactly as 2^3 × 11.
Divisibility checks for 88
The quick rules a student uses before dividing, applied to 88:
| Divisible by | Rule | For 88 | Result |
|---|---|---|---|
| 2 | last digit is even | last digit 8 | yes |
| 3 | digit sum divisible by 3 | digits add to 16 | no |
| 4 | last two digits divisible by 4 | 88 ÷ 4 | yes |
| 5 | last digit is 0 or 5 | last digit 8 | no |
| 6 | divisible by both 2 and 3 | even, digit sum 16 | no |
| 8 | last three digits divisible by 8 | 88 ÷ 8 | yes |
| 9 | digit sum divisible by 9 | digits add to 16 | no |
| 10 | last digit is 0 | last digit 8 | no |
Frequently Asked Questions
What are the factors of 88?
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88.
Is 88 a prime number?
No, 88 is a composite number. Its prime factorization is 2^3 × 11.
How many factors does 88 have?
88 has 8 factors. You can get that count from the prime factorization without listing them: add 1 to each exponent in 2^3 × 11 and multiply -- (3+1) × (1+1) = 8.
Is 88 even or odd?
88 is even (2 is one of its factors).
What is the sum of the factors of 88?
1 + 2 + 4 + 8 + 11 + 22 + 44 + 88 = 180. Leaving out 88 itself, the proper factors add to 92, more than 88, so 88 is an abundant number.
More Number Theory
- Factor Calculator (look up any number)
- GCF Calculator
- LCM Calculator
- LCD Calculator