Factors of 428
The factors of 428 are 1, 2, 4, 107, 214, and 428. In total, 428 has 6 factors. Its prime factorization is 2² × 107, and the sum of all its factors is 756.
All factors of 428
Here are all 6 factors of 428, listed from smallest to largest.
Factor pairs of 428
These 3 pairs of whole numbers each multiply to give 428.
Prime factorization of 428
Dividing 428 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 428 are 2, 107. To factorize any other number, use the prime factorization calculator.
Factor tree of 428
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 428
| Number of factors | 6 |
|---|---|
| Sum of factors | 756 |
| Sum of proper factors | 328 |
| Prime factorization | 2² × 107 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 428 interesting
- 428 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.
- 428 is a deficient number: its proper factors sum to 328, which is 100 less than 428 itself.
How to find the factors of 428 yourself
Divide 428 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 √428 ≈ 20.69, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 107, 214, 428. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 428.
Frequently asked questions about 428
What are the factors of 428?
Is 428 a prime number?
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What two numbers multiply to give 428?
What is the sum of the factors of 428?
Is 428 a perfect square?
What is the largest factor of 428 other than itself?
How many factors does 428 have?
Explore more
Try another number in the factor calculator, break 428 down further with the prime factorization calculator, or compare 428 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.