Factors of 73
The factors of 73 are 1, 73. Yes, 73 is a prime number. Its only factors are 1 and 73.
Factor pairs of 73
Every factor has a partner that multiplies with it to give 73. 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 73 | 1 × 73 = 73 |
Prime factorization of 73, step by step
73 is prime, so the ladder is one rung: nothing smaller than 73 divides it except 1. To confirm, you only need to test primes up to √73 ≈ 8: 73 ÷ 2 leaves 1; 73 ÷ 3 leaves 1; 73 ÷ 5 leaves 3; 73 ÷ 7 leaves 3.
Divisibility checks for 73
The quick rules a student uses before dividing, applied to 73:
| Divisible by | Rule | For 73 | Result |
|---|---|---|---|
| 2 | last digit is even | last digit 3 | no |
| 3 | digit sum divisible by 3 | digits add to 10 | no |
| 4 | last two digits divisible by 4 | 73 ÷ 4 | no |
| 5 | last digit is 0 or 5 | last digit 3 | no |
| 6 | divisible by both 2 and 3 | odd, digit sum 10 | no |
| 8 | last three digits divisible by 8 | 73 ÷ 8 | no |
| 9 | digit sum divisible by 9 | digits add to 10 | no |
| 10 | last digit is 0 | last digit 3 | no |
Frequently Asked Questions
What are the factors of 73?
The factors of 73 are 1, 73.
Is 73 a prime number?
Yes, 73 is a prime number. Its only factors are 1 and 73.
How many factors does 73 have?
73 has 2 factors.
Is 73 even or odd?
73 is odd (2 is not a factor).
What is the sum of the factors of 73?
1 + 73 = 74. Leaving out 73 itself, the proper factors add to 1, less than 73, so 73 is a deficient number.
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