Factors of 437
The factors of 437 are 1, 19, 23, and 437. In total, 437 has 4 factors. Its prime factorization is 19 × 23, and the sum of all its factors is 480.
All factors of 437
Here are all 4 factors of 437, listed from smallest to largest.
Factor pairs of 437
These 2 pairs of whole numbers each multiply to give 437.
Prime factorization of 437
Dividing 437 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 437 are 19, 23. To factorize any other number, use the prime factorization calculator.
Factor tree of 437
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 437
| Number of factors | 4 |
|---|---|
| Sum of factors | 480 |
| Sum of proper factors | 43 |
| Prime factorization | 19 × 23 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 437 interesting
- 437 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.
- 437 is a deficient number: its proper factors sum to 43, which is 394 less than 437 itself.
How to find the factors of 437 yourself
Divide 437 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 √437 ≈ 20.90, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 19, 23, 437. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 437.
Frequently asked questions about 437
What are the factors of 437?
Is 437 a prime number?
What is the prime factorization of 437?
What two numbers multiply to give 437?
What is the sum of the factors of 437?
Is 437 a perfect square?
What is the largest factor of 437 other than itself?
How many factors does 437 have?
Explore more
Try another number in the factor calculator, break 437 down further with the prime factorization calculator, or compare 437 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.