Factors of 746
The factors of 746 are 1, 2, 373, and 746. In total, 746 has 4 factors. Its prime factorization is 2 × 373, and the sum of all its factors is 1122.
All factors of 746
Here are all 4 factors of 746, listed from smallest to largest.
Factor pairs of 746
These 2 pairs of whole numbers each multiply to give 746.
Prime factorization of 746
Dividing 746 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 746 are 2, 373. To factorize any other number, use the prime factorization calculator.
Factor tree of 746
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 746
| Number of factors | 4 |
|---|---|
| Sum of factors | 1122 |
| Sum of proper factors | 376 |
| Prime factorization | 2 × 373 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 746 interesting
- 746 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
- 746 is a deficient number: its proper factors sum to 376, which is 370 less than 746 itself.
How to find the factors of 746 yourself
Divide 746 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 √746 ≈ 27.31, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 373, 746. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 746.
Frequently asked questions about 746
What are the factors of 746?
Is 746 a prime number?
What is the prime factorization of 746?
What two numbers multiply to give 746?
What is the sum of the factors of 746?
Is 746 a perfect square?
What is the largest factor of 746 other than itself?
How many factors does 746 have?
Explore more
Try another number in the factor calculator, break 746 down further with the prime factorization calculator, or compare 746 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.