Factors of 1044
The factors of 1044 are 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, and 1044. In total, 1044 has 18 factors. Its prime factorization is 2² × 3² × 29, and the sum of all its factors is 2730.
All factors of 1044
Here are all 18 factors of 1044, listed from smallest to largest.
Factor pairs of 1044
These 9 pairs of whole numbers each multiply to give 1044.
Prime factorization of 1044
Dividing 1044 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1044 are 2, 3, 29. To factorize any other number, use the prime factorization calculator.
Factor tree of 1044
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1044
| Number of factors | 18 |
|---|---|
| Sum of factors | 2730 |
| Sum of proper factors | 1686 |
| Prime factorization | 2² × 3² × 29 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 1044 interesting
- 1044 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 9 different ways.
- 1044 is an abundant number: its proper factors sum to 1686, which is 642 more than 1044 itself.
- 1044 has 3 distinct prime factors (2, 3, 29), which is why it has so many divisors.
How to find the factors of 1044 yourself
Divide 1044 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 √1044 ≈ 32.31, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1044.
Frequently asked questions about 1044
What are the factors of 1044?
Is 1044 a prime number?
What is the prime factorization of 1044?
What two numbers multiply to give 1044?
What is the sum of the factors of 1044?
Is 1044 a perfect square?
What is the largest factor of 1044 other than itself?
How many factors does 1044 have?
Explore more
Try another number in the factor calculator, break 1044 down further with the prime factorization calculator, or compare 1044 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.