Factors of 936
The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, and 936. In total, 936 has 24 factors. Its prime factorization is 2³ × 3² × 13, and the sum of all its factors is 2730.
All factors of 936
Here are all 24 factors of 936, listed from smallest to largest.
Factor pairs of 936
These 12 pairs of whole numbers each multiply to give 936.
Prime factorization of 936
Dividing 936 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 936 are 2, 3, 13. To factorize any other number, use the prime factorization calculator.
Factor tree of 936
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 936
| Number of factors | 24 |
|---|---|
| Sum of factors | 2730 |
| Sum of proper factors | 1794 |
| Prime factorization | 2³ × 3² × 13 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 936 interesting
- 936 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 12 different ways.
- 936 is an abundant number: its proper factors sum to 1794, which is 858 more than 936 itself.
- 936 has 3 distinct prime factors (2, 3, 13), which is why it has so many divisors.
How to find the factors of 936 yourself
Divide 936 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 √936 ≈ 30.59, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 936.
Frequently asked questions about 936
What are the factors of 936?
Is 936 a prime number?
What is the prime factorization of 936?
What two numbers multiply to give 936?
What is the sum of the factors of 936?
Is 936 a perfect square?
What is the largest factor of 936 other than itself?
How many factors does 936 have?
Explore more
Try another number in the factor calculator, break 936 down further with the prime factorization calculator, or compare 936 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.