Factors of 424
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, and 424. In total, 424 has 8 factors. Its prime factorization is 2³ × 53, and the sum of all its factors is 810.
All factors of 424
Here are all 8 factors of 424, listed from smallest to largest.
Factor pairs of 424
These 4 pairs of whole numbers each multiply to give 424.
Prime factorization of 424
Dividing 424 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 424 are 2, 53. To factorize any other number, use the prime factorization calculator.
Factor tree of 424
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 424
| Number of factors | 8 |
|---|---|
| Sum of factors | 810 |
| Sum of proper factors | 386 |
| Prime factorization | 2³ × 53 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 424 interesting
- 424 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
- 424 is a deficient number: its proper factors sum to 386, which is 38 less than 424 itself.
How to find the factors of 424 yourself
Divide 424 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 √424 ≈ 20.59, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 53, 106, 212, 424. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 424.
Frequently asked questions about 424
What are the factors of 424?
Is 424 a prime number?
What is the prime factorization of 424?
What two numbers multiply to give 424?
What is the sum of the factors of 424?
Is 424 a perfect square?
What is the largest factor of 424 other than itself?
How many factors does 424 have?
Explore more
Try another number in the factor calculator, break 424 down further with the prime factorization calculator, or compare 424 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.