Factors of 744
The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, and 744. In total, 744 has 16 factors. Its prime factorization is 2³ × 3 × 31, and the sum of all its factors is 1920.
All factors of 744
Here are all 16 factors of 744, listed from smallest to largest.
Factor pairs of 744
These 8 pairs of whole numbers each multiply to give 744.
Prime factorization of 744
Dividing 744 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 744 are 2, 3, 31. To factorize any other number, use the prime factorization calculator.
Factor tree of 744
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 744
| Number of factors | 16 |
|---|---|
| Sum of factors | 1920 |
| Sum of proper factors | 1176 |
| Prime factorization | 2³ × 3 × 31 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 744 interesting
- 744 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.
- 744 is an abundant number: its proper factors sum to 1176, which is 432 more than 744 itself.
- 744 has 3 distinct prime factors (2, 3, 31), which is why it has so many divisors.
How to find the factors of 744 yourself
Divide 744 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 √744 ≈ 27.28, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 744.
Frequently asked questions about 744
What are the factors of 744?
Is 744 a prime number?
What is the prime factorization of 744?
What two numbers multiply to give 744?
What is the sum of the factors of 744?
Is 744 a perfect square?
What is the largest factor of 744 other than itself?
How many factors does 744 have?
Explore more
Try another number in the factor calculator, break 744 down further with the prime factorization calculator, or compare 744 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.