Factors of 426
The factors of 426 are 1, 2, 3, 6, 71, 142, 213, and 426. In total, 426 has 8 factors. Its prime factorization is 2 × 3 × 71, and the sum of all its factors is 864.
All factors of 426
Here are all 8 factors of 426, listed from smallest to largest.
Factor pairs of 426
These 4 pairs of whole numbers each multiply to give 426.
Prime factorization of 426
Dividing 426 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 426 are 2, 3, 71. To factorize any other number, use the prime factorization calculator.
Factor tree of 426
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 426
| Number of factors | 8 |
|---|---|
| Sum of factors | 864 |
| Sum of proper factors | 438 |
| Prime factorization | 2 × 3 × 71 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 426 interesting
- 426 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.
- 426 is an abundant number: its proper factors sum to 438, which is 12 more than 426 itself.
- 426 has 3 distinct prime factors (2, 3, 71), which is why it has so many divisors.
How to find the factors of 426 yourself
Divide 426 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 √426 ≈ 20.64, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 6, 71, 142, 213, 426. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 426.
Frequently asked questions about 426
What are the factors of 426?
Is 426 a prime number?
What is the prime factorization of 426?
What two numbers multiply to give 426?
What is the sum of the factors of 426?
Is 426 a perfect square?
What is the largest factor of 426 other than itself?
How many factors does 426 have?
Explore more
Try another number in the factor calculator, break 426 down further with the prime factorization calculator, or compare 426 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.