Factors of 73
Every whole number that divides 73 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 73 are 1 and 73. 73 is a prime number.
Factor pairs of 73
| Pair | Makes |
|---|---|
| 1 × 73 | 73 |
Prime factors of 73
- Prime factorisation
- 73 = 73
- Is 73 prime?
- Yes. It is the 21st prime number.
- Is 73 a square number?
- No. 8 × 8 = 64 and 9 × 9 = 81, so 73 falls between two square numbers.
How to find the factors of 73
73 is prime, so the only pair you will find is 1 × 73. Work up from 1 to 8, and write down both numbers in every pair you find.
- 73 ÷ 1 = 73, so 1 × 73 is a pair.
- 2 does not go into 73 exactly.
- 3 does not go into 73 exactly.
- 4 does not go into 73 exactly.
- 5 does not go into 73 exactly.
- 6 does not go into 73 exactly.
- 7 does not go into 73 exactly.
- 8 does not go into 73 exactly.
Stop at 9: 9 × 9 = 81, which is more than 73. The next pair you would find is 73 × 1, which is 1 × 73 turned round, so you already have every pair.
More numbers
Check whether 73 is prime.
Questions parents ask
What is the largest factor of 73, apart from 73 itself?
1. 73 is prime, so apart from 73 itself its only factor is 1.
What do the factors of 73 add up to?
74. Leaving out 73 itself, they add up to 1, which is less than 73, so 73 is called a deficient number.
Which number after 73 has the same number of factors?
79. Like 73, it has exactly 2 factors.
Number facts are the base of 11+ maths
Factors, multiples, primes and square numbers come up all over 11+ maths, from simplifying fractions to ratio. The free diagnostic checks maths, English and both kinds of reasoning, and shows what to practise next. No card is required.