Factors of 49
Every whole number that divides 49 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 49 are 1, 7 and 49.
Factor pairs of 49
| Pair | Makes |
|---|---|
| 1 × 49 | 49 |
| 7 × 7 | 49 |
7 × 7 uses the same number twice, so 7 counts once. That is why 49 has an odd number of factors: 3.
Prime factors of 49
- Prime factorisation
- 49 = 7 × 7 (7²)
- Reading index form
- A small raised number tells you how many times to use that factor. For example, 2³ means 2 × 2 × 2.
- Is 49 prime?
- No. It has 3 factors, not just 1 and 49.
- Is 49 a square number?
- Yes. 7 × 7 = 49.
How to find the factors of 49
49 is odd, so every even number you try will fail. It is a square number, so one pair is 7 × 7, the same number twice. Work up from 1 to 7, and write down both numbers in every pair you find.
- 49 ÷ 1 = 49, so 1 × 49 is a pair.
- 2 does not go into 49 exactly.
- 3 does not go into 49 exactly.
- 4 does not go into 49 exactly.
- 5 does not go into 49 exactly.
- 6 does not go into 49 exactly.
- 49 ÷ 7 = 7, so 7 × 7 is a pair.
Stop at 8: 8 × 8 = 64, which is more than 49. The next pair you would find is 49 × 1, which is 1 × 49 turned round, so you already have every pair.
49 in the times tables
7 × 7 = 49. Practise the 7 times table.
More numbers
Check whether 49 is prime or see the square root of 49.
Questions parents ask
What is the largest factor of 49, apart from 49 itself?
7. Divide 49 by its smallest factor above 1, which is 7: 49 ÷ 7 = 7.
What do the factors of 49 add up to?
57. Leaving out 49 itself, they add up to 8, which is less than 49, so 49 is called a deficient number.
Which number after 49 has the same number of factors?
121. Like 49, it has exactly 3 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.