Factors of 272
The factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, and 272. In total, 272 has 10 factors. Its prime factorization is 2⁴ × 17, and the sum of all its factors is 558.
All factors of 272
Here are all 10 factors of 272, listed from smallest to largest.
Factor pairs of 272
These 5 pairs of whole numbers each multiply to give 272.
Prime factorization of 272
Dividing 272 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 272 are 2, 17. To factorize any other number, use the prime factorization calculator.
Factor tree of 272
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 272
| Number of factors | 10 |
|---|---|
| Sum of factors | 558 |
| Sum of proper factors | 286 |
| Prime factorization | 2⁴ × 17 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 272 interesting
- 272 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 5 different ways.
- 272 is an abundant number: its proper factors sum to 286, which is 14 more than 272 itself.
How to find the factors of 272 yourself
Divide 272 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 √272 ≈ 16.49, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 16, 17, 34, 68, 136, 272. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 272.
Frequently asked questions about 272
What are the factors of 272?
Is 272 a prime number?
What is the prime factorization of 272?
What two numbers multiply to give 272?
What is the sum of the factors of 272?
Is 272 a perfect square?
What is the largest factor of 272 other than itself?
How many factors does 272 have?
Explore more
Try another number in the factor calculator, break 272 down further with the prime factorization calculator, or compare 272 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.