Factors of 98
Every whole number that divides 98 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 98 are 1, 2, 7, 14, 49 and 98.
Factor pairs of 98
| Pair | Makes |
|---|---|
| 1 × 98 | 98 |
| 2 × 49 | 98 |
| 7 × 14 | 98 |
Prime factors of 98
- Prime factorisation
- 98 = 2 × 7 × 7 (2 × 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 98 prime?
- No. It has 6 factors, not just 1 and 98.
- Is 98 a square number?
- No. 9 × 9 = 81 and 10 × 10 = 100, so 98 falls between two square numbers.
How to find the factors of 98
98 is even, so 2 is sure to be a factor. Work up from 1 to 9, and write down both numbers in every pair you find.
- 98 ÷ 1 = 98, so 1 × 98 is a pair.
- 98 ÷ 2 = 49, so 2 × 49 is a pair.
- 3 does not go into 98 exactly.
- 4 does not go into 98 exactly.
- 5 does not go into 98 exactly.
- 6 does not go into 98 exactly.
- 98 ÷ 7 = 14, so 7 × 14 is a pair.
- 8 does not go into 98 exactly.
- 9 does not go into 98 exactly.
Stop at 10: 10 × 10 = 100, which is more than 98. The next pair you would find is 14 × 7, which is 7 × 14 turned round, so you already have every pair.
98 in the times tables
7 × 14 = 98. Practise the 14 times table.
More numbers
Check whether 98 is prime.
Questions parents ask
What is the largest factor of 98, apart from 98 itself?
49. Divide 98 by its smallest factor above 1, which is 2: 98 ÷ 2 = 49.
What do the factors of 98 add up to?
171. Leaving out 98 itself, they add up to 73, which is less than 98, so 98 is called a deficient number.
Which number after 98 has the same number of factors?
99. Like 98, it has exactly 6 factors.
Continue your number practice
Explore the diagnostic for another set of practice questions.