Factors of 988
The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, and 988. In total, 988 has 12 factors. Its prime factorization is 2² × 13 × 19, and the sum of all its factors is 1960.
All factors of 988
Here are all 12 factors of 988, listed from smallest to largest.
Factor pairs of 988
These 6 pairs of whole numbers each multiply to give 988.
Prime factorization of 988
Dividing 988 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 988 are 2, 13, 19. To factorize any other number, use the prime factorization calculator.
Factor tree of 988
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 988
| Number of factors | 12 |
|---|---|
| Sum of factors | 1960 |
| Sum of proper factors | 972 |
| Prime factorization | 2² × 13 × 19 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 988 interesting
- 988 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
- 988 is a deficient number: its proper factors sum to 972, which is 16 less than 988 itself.
- 988 has 3 distinct prime factors (2, 13, 19), which is why it has so many divisors.
How to find the factors of 988 yourself
Divide 988 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √988 ≈ 31.43, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 988.
Frequently asked questions about 988
What are the factors of 988?
Is 988 a prime number?
What is the prime factorization of 988?
What two numbers multiply to give 988?
What is the sum of the factors of 988?
Is 988 a perfect square?
What is the largest factor of 988 other than itself?
How many factors does 988 have?
Explore more
Try another number in the factor calculator, break 988 down further with the prime factorization calculator, or compare 988 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.