Factors of 50
Every whole number that divides 50 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 50 are 1, 2, 5, 10, 25 and 50.
Factor pairs of 50
| Pair | Makes |
|---|---|
| 1 × 50 | 50 |
| 2 × 25 | 50 |
| 5 × 10 | 50 |
Prime factors of 50
- Prime factorisation
- 50 = 2 × 5 × 5 (2 × 5²)
- Reading index form
- A small raised number tells you how many times to use that factor. For example, 2³ means 2 × 2 × 2.
- Is 50 prime?
- No. It has 6 factors, not just 1 and 50.
- Is 50 a square number?
- No. 7 × 7 = 49 and 8 × 8 = 64, so 50 falls between two square numbers.
How to find the factors of 50
50 is even, so 2 is sure to be a factor. It ends in 0, so 5 is a factor. Work up from 1 to 7, and write down both numbers in every pair you find.
- 50 ÷ 1 = 50, so 1 × 50 is a pair.
- 50 ÷ 2 = 25, so 2 × 25 is a pair.
- 3 does not go into 50 exactly.
- 4 does not go into 50 exactly.
- 50 ÷ 5 = 10, so 5 × 10 is a pair.
- 6 does not go into 50 exactly.
- 7 does not go into 50 exactly.
Stop at 8: 8 × 8 = 64, which is more than 50. The next pair you would find is 10 × 5, which is 5 × 10 turned round, so you already have every pair.
50 in the times tables
2 × 25 = 50 and 5 × 10 = 50. Practise the 5 times table, 10 times table and 25 times table.
More numbers
Check whether 50 is prime.
Questions parents ask
What is the largest factor of 50, apart from 50 itself?
25. Divide 50 by its smallest factor above 1, which is 2: 50 ÷ 2 = 25.
What do the factors of 50 add up to?
93. Leaving out 50 itself, they add up to 43, which is less than 50, so 50 is called a deficient number.
Which number after 50 has the same number of factors?
52. Like 50, it has exactly 6 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.