Factors of 924
The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, and 924. In total, 924 has 24 factors. Its prime factorization is 2² × 3 × 7 × 11, and the sum of all its factors is 2688.
All factors of 924
Here are all 24 factors of 924, listed from smallest to largest.
Factor pairs of 924
These 12 pairs of whole numbers each multiply to give 924.
Prime factorization of 924
Dividing 924 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 924 are 2, 3, 7, 11. To factorize any other number, use the prime factorization calculator.
Factor tree of 924
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 924
| Number of factors | 24 |
|---|---|
| Sum of factors | 2688 |
| Sum of proper factors | 1764 |
| Prime factorization | 2² × 3 × 7 × 11 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 924 interesting
- 924 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.
- 924 is an abundant number: its proper factors sum to 1764, which is 840 more than 924 itself.
- 924 has 4 distinct prime factors (2, 3, 7, 11), which is why it has so many divisors.
How to find the factors of 924 yourself
Divide 924 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 √924 ≈ 30.40, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 924.
Frequently asked questions about 924
What are the factors of 924?
Is 924 a prime number?
What is the prime factorization of 924?
What two numbers multiply to give 924?
What is the sum of the factors of 924?
Is 924 a perfect square?
What is the largest factor of 924 other than itself?
How many factors does 924 have?
Explore more
Try another number in the factor calculator, break 924 down further with the prime factorization calculator, or compare 924 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.