Factors of 722
The factors of 722 are 1, 2, 19, 38, 361, and 722. In total, 722 has 6 factors. Its prime factorization is 2 × 19², and the sum of all its factors is 1143.
All factors of 722
Here are all 6 factors of 722, listed from smallest to largest.
Factor pairs of 722
These 3 pairs of whole numbers each multiply to give 722.
Prime factorization of 722
Dividing 722 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 722 are 2, 19. To factorize any other number, use the prime factorization calculator.
Factor tree of 722
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 722
| Number of factors | 6 |
|---|---|
| Sum of factors | 1143 |
| Sum of proper factors | 421 |
| Prime factorization | 2 × 19² |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 722 interesting
- 722 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
- 722 is a deficient number: its proper factors sum to 421, which is 301 less than 722 itself.
How to find the factors of 722 yourself
Divide 722 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 √722 ≈ 26.87, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 19, 38, 361, 722. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 722.
Frequently asked questions about 722
What are the factors of 722?
Is 722 a prime number?
What is the prime factorization of 722?
What two numbers multiply to give 722?
What is the sum of the factors of 722?
Is 722 a perfect square?
What is the largest factor of 722 other than itself?
How many factors does 722 have?
Explore more
Try another number in the factor calculator, break 722 down further with the prime factorization calculator, or compare 722 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.