Factors of 55
The factors of 55 are 1, 5, 11, 55. No, 55 is a composite number. Its prime factorization is 5 × 11.
Factor pairs of 55
Every factor has a partner that multiplies with it to give 55. 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 55 | 1 × 55 = 55 |
| 5 and 11 | 5 × 11 = 55 |
Prime factorization of 55, 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 | 55 ÷ 5 | 11 |
| 2 | 11 ÷ 11 | 1 |
So 55 = 5 × 11, written compactly as 5 × 11.
Divisibility checks for 55
The quick rules a student uses before dividing, applied to 55:
| Divisible by | Rule | For 55 | Result |
|---|---|---|---|
| 2 | last digit is even | last digit 5 | no |
| 3 | digit sum divisible by 3 | digits add to 10 | no |
| 4 | last two digits divisible by 4 | 55 ÷ 4 | no |
| 5 | last digit is 0 or 5 | last digit 5 | yes |
| 6 | divisible by both 2 and 3 | odd, digit sum 10 | no |
| 8 | last three digits divisible by 8 | 55 ÷ 8 | no |
| 9 | digit sum divisible by 9 | digits add to 10 | no |
| 10 | last digit is 0 | last digit 5 | no |
Frequently Asked Questions
What are the factors of 55?
The factors of 55 are 1, 5, 11, 55.
Is 55 a prime number?
No, 55 is a composite number. Its prime factorization is 5 × 11.
How many factors does 55 have?
55 has 4 factors. You can get that count from the prime factorization without listing them: add 1 to each exponent in 5 × 11 and multiply -- (1+1) × (1+1) = 4.
Is 55 even or odd?
55 is odd (2 is not a factor).
What is the sum of the factors of 55?
1 + 5 + 11 + 55 = 72. Leaving out 55 itself, the proper factors add to 17, less than 55, so 55 is a deficient number.
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