Factors of 68
The factors of 68 are 1, 2, 4, 17, 34, and 68. In total, 68 has 6 factors. Its prime factorization is 2² × 17, and the sum of all its factors is 126.
All factors of 68
Here are all 6 factors of 68, listed from smallest to largest.
Factor pairs of 68
These 3 pairs of whole numbers each multiply to give 68.
Prime factorization of 68
Dividing 68 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 68 are 2, 17. To factorize any other number, use the prime factorization calculator.
Factor tree of 68
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 68
| Number of factors | 6 |
|---|---|
| Sum of factors | 126 |
| Sum of proper factors | 58 |
| Prime factorization | 2² × 17 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 68 interesting
- 68 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
- 68 is a deficient number: its proper factors sum to 58, which is 10 less than 68 itself.
How to find the factors of 68 yourself
Divide 68 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 √68 ≈ 8.25, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 17, 34, 68. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 68.
Frequently asked questions about 68
What are the factors of 68?
Is 68 a prime number?
What is the prime factorization of 68?
What two numbers multiply to give 68?
What is the sum of the factors of 68?
Is 68 a perfect square?
What is the largest factor of 68 other than itself?
How many factors does 68 have?
Explore more
Try another number in the factor calculator, break 68 down further with the prime factorization calculator, or compare 68 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.