Factors of 47
The factors of 47 are 1, 47. Yes, 47 is a prime number. Its only factors are 1 and 47.
Factor pairs of 47
Every factor has a partner that multiplies with it to give 47. 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 47 | 1 × 47 = 47 |
Prime factorization of 47, step by step
47 is prime, so the ladder is one rung: nothing smaller than 47 divides it except 1. To confirm, you only need to test primes up to √47 ≈ 6: 47 ÷ 2 leaves 1; 47 ÷ 3 leaves 2; 47 ÷ 5 leaves 2.
Divisibility checks for 47
The quick rules a student uses before dividing, applied to 47:
| Divisible by | Rule | For 47 | Result |
|---|---|---|---|
| 2 | last digit is even | last digit 7 | no |
| 3 | digit sum divisible by 3 | digits add to 11 | no |
| 4 | last two digits divisible by 4 | 47 ÷ 4 | no |
| 5 | last digit is 0 or 5 | last digit 7 | no |
| 6 | divisible by both 2 and 3 | odd, digit sum 11 | no |
| 8 | last three digits divisible by 8 | 47 ÷ 8 | no |
| 9 | digit sum divisible by 9 | digits add to 11 | no |
| 10 | last digit is 0 | last digit 7 | no |
Frequently Asked Questions
What are the factors of 47?
The factors of 47 are 1, 47.
Is 47 a prime number?
Yes, 47 is a prime number. Its only factors are 1 and 47.
How many factors does 47 have?
47 has 2 factors.
Is 47 even or odd?
47 is odd (2 is not a factor).
What is the sum of the factors of 47?
1 + 47 = 48. Leaving out 47 itself, the proper factors add to 1, less than 47, so 47 is a deficient number.
More Number Theory
- Factor Calculator (look up any number)
- GCF Calculator
- LCM Calculator
- LCD Calculator