Factors of 268
The factors of 268 are 1, 2, 4, 67, 134, and 268. In total, 268 has 6 factors. Its prime factorization is 2² × 67, and the sum of all its factors is 476.
All factors of 268
Here are all 6 factors of 268, listed from smallest to largest.
Factor pairs of 268
These 3 pairs of whole numbers each multiply to give 268.
Prime factorization of 268
Dividing 268 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 268 are 2, 67. To factorize any other number, use the prime factorization calculator.
Factor tree of 268
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 268
| Number of factors | 6 |
|---|---|
| Sum of factors | 476 |
| Sum of proper factors | 208 |
| Prime factorization | 2² × 67 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 268 interesting
- 268 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.
- 268 is a deficient number: its proper factors sum to 208, which is 60 less than 268 itself.
How to find the factors of 268 yourself
Divide 268 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 √268 ≈ 16.37, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 67, 134, 268. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 268.
Frequently asked questions about 268
What are the factors of 268?
Is 268 a prime number?
What is the prime factorization of 268?
What two numbers multiply to give 268?
What is the sum of the factors of 268?
Is 268 a perfect square?
What is the largest factor of 268 other than itself?
How many factors does 268 have?
Explore more
Try another number in the factor calculator, break 268 down further with the prime factorization calculator, or compare 268 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.