Factors of 32
The factors of 32 are 1, 2, 4, 8, 16, and 32. In total, 32 has 6 factors. Its prime factorization is 2⁵, and the sum of all its factors is 63.
All factors of 32
Here are all 6 factors of 32, listed from smallest to largest.
Factor pairs of 32
These 3 pairs of whole numbers each multiply to give 32.
Prime factorization of 32
Dividing 32 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 32 are 2. To factorize any other number, use the prime factorization calculator.
Factor tree of 32
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 32
| Number of factors | 6 |
|---|---|
| Sum of factors | 63 |
| Sum of proper factors | 31 |
| Prime factorization | 2⁵ |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 32 interesting
- 32 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.
- 32 is a deficient number: its proper factors sum to 31, which is 1 less than 32 itself.
- 32 is a prime power: it is 2 raised to the power of 5. All of its factors are powers of 2.
How to find the factors of 32 yourself
Divide 32 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 √32 ≈ 5.66, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 16, 32. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 32.
Frequently asked questions about 32
What are the factors of 32?
Is 32 a prime number?
What is the prime factorization of 32?
What two numbers multiply to give 32?
What is the sum of the factors of 32?
Is 32 a perfect square?
What is the largest factor of 32 other than itself?
How many factors does 32 have?
Explore more
Try another number in the factor calculator, break 32 down further with the prime factorization calculator, or compare 32 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.