Factors of 968
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, and 968. In total, 968 has 12 factors. Its prime factorization is 2³ × 11², and the sum of all its factors is 1995.
All factors of 968
Here are all 12 factors of 968, listed from smallest to largest.
Factor pairs of 968
These 6 pairs of whole numbers each multiply to give 968.
Prime factorization of 968
Dividing 968 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 968 are 2, 11. To factorize any other number, use the prime factorization calculator.
Factor tree of 968
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 968
| Number of factors | 12 |
|---|---|
| Sum of factors | 1995 |
| Sum of proper factors | 1027 |
| Prime factorization | 2³ × 11² |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 968 interesting
- 968 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.
- 968 is an abundant number: its proper factors sum to 1027, which is 59 more than 968 itself.
How to find the factors of 968 yourself
Divide 968 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 √968 ≈ 31.11, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 968.
Frequently asked questions about 968
What are the factors of 968?
Is 968 a prime number?
What is the prime factorization of 968?
What two numbers multiply to give 968?
What is the sum of the factors of 968?
Is 968 a perfect square?
What is the largest factor of 968 other than itself?
How many factors does 968 have?
Explore more
Try another number in the factor calculator, break 968 down further with the prime factorization calculator, or compare 968 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.