Factors of 920
The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, and 920. In total, 920 has 16 factors. Its prime factorization is 2³ × 5 × 23, and the sum of all its factors is 2160.
All factors of 920
Here are all 16 factors of 920, listed from smallest to largest.
Factor pairs of 920
These 8 pairs of whole numbers each multiply to give 920.
Prime factorization of 920
Dividing 920 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 920 are 2, 5, 23. To factorize any other number, use the prime factorization calculator.
Factor tree of 920
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 920
| Number of factors | 16 |
|---|---|
| Sum of factors | 2160 |
| Sum of proper factors | 1240 |
| Prime factorization | 2³ × 5 × 23 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 920 interesting
- 920 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
- 920 is an abundant number: its proper factors sum to 1240, which is 320 more than 920 itself.
- 920 has 3 distinct prime factors (2, 5, 23), which is why it has so many divisors.
How to find the factors of 920 yourself
Divide 920 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 √920 ≈ 30.33, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 920.
Frequently asked questions about 920
What are the factors of 920?
Is 920 a prime number?
What is the prime factorization of 920?
What two numbers multiply to give 920?
What is the sum of the factors of 920?
Is 920 a perfect square?
What is the largest factor of 920 other than itself?
How many factors does 920 have?
Explore more
Try another number in the factor calculator, break 920 down further with the prime factorization calculator, or compare 920 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.