Factors of 96
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. No, 96 is a composite number. Its prime factorization is 2^5 × 3.
Factor pairs of 96
Every factor has a partner that multiplies with it to give 96. 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 96 | 1 × 96 = 96 |
| 2 and 48 | 2 × 48 = 96 |
| 3 and 32 | 3 × 32 = 96 |
| 4 and 24 | 4 × 24 = 96 |
| 6 and 16 | 6 × 16 = 96 |
| 8 and 12 | 8 × 12 = 96 |
Prime factorization of 96, 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 | 96 ÷ 2 | 48 |
| 2 | 48 ÷ 2 | 24 |
| 3 | 24 ÷ 2 | 12 |
| 4 | 12 ÷ 2 | 6 |
| 5 | 6 ÷ 2 | 3 |
| 6 | 3 ÷ 3 | 1 |
So 96 = 2 × 2 × 2 × 2 × 2 × 3, written compactly as 2^5 × 3.
Divisibility checks for 96
The quick rules a student uses before dividing, applied to 96:
| Divisible by | Rule | For 96 | Result |
|---|---|---|---|
| 2 | last digit is even | last digit 6 | yes |
| 3 | digit sum divisible by 3 | digits add to 15 | yes |
| 4 | last two digits divisible by 4 | 96 ÷ 4 | yes |
| 5 | last digit is 0 or 5 | last digit 6 | no |
| 6 | divisible by both 2 and 3 | even, digit sum 15 | yes |
| 8 | last three digits divisible by 8 | 96 ÷ 8 | yes |
| 9 | digit sum divisible by 9 | digits add to 15 | no |
| 10 | last digit is 0 | last digit 6 | no |
Frequently Asked Questions
What are the factors of 96?
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.
Is 96 a prime number?
No, 96 is a composite number. Its prime factorization is 2^5 × 3.
How many factors does 96 have?
96 has 12 factors. You can get that count from the prime factorization without listing them: add 1 to each exponent in 2^5 × 3 and multiply -- (5+1) × (1+1) = 12.
Is 96 even or odd?
96 is even (2 is one of its factors).
What is the sum of the factors of 96?
1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 48 + 96 = 252. Leaving out 96 itself, the proper factors add to 156, more than 96, so 96 is an abundant number.
More Number Theory
- Factor Calculator (look up any number)
- GCF Calculator
- LCM Calculator
- LCD Calculator