Factor Calculator

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.

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Factor pairs of 426

These 4 pairs of whole numbers each multiply to give 426.

1 × 426 = 426
2 × 213 = 426
3 × 142 = 426
6 × 71 = 426

Prime factorization of 426

Dividing 426 by the smallest prime at each step gives its prime factorization:

426 ÷ 2 = 213
213 ÷ 3 = 71
71 ÷ 71 = 1
Result: 426 = 2 × 3 × 71 = 2 × 3 × 71

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.

Factor tree of 4264262213371
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 426

Number of factors8
Sum of factors864
Sum of proper factors438
Prime factorization2 × 3 × 71
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

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 √42620.64, because every factor above that pairs with one below it.

426 ÷ 1 = 426
426 ÷ 2 = 213
426 ÷ 3 = 142
426 ÷ 6 = 71

Reading both columns gives every factor: 1, 2, 3, 6, 71, 142, 213, 426. The factor calculator does this automatically for any number.

Frequently asked questions about 426

What are the factors of 426?

The factors of 426 are 1, 2, 3, 6, 71, 142, 213, and 426. That is 8 factors in total, counting both 1 and 426.

Is 426 a prime number?

No, 426 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 426 is also divisible by 2.

What is the prime factorization of 426?

The prime factorization of 426 is 2 × 3 × 71. Written out in full: 2 × 3 × 71 = 426. Its distinct prime factors are 2, 3, 71.

What two numbers multiply to give 426?

There are 4 pairs of whole numbers that multiply to 426: 1 × 426, 2 × 213, 3 × 142, 6 × 71.

What is the sum of the factors of 426?

Adding all the factors of 426 together gives 864. Excluding 426 itself, the proper factors sum to 438.

Is 426 a perfect square?

No, 426 is not a perfect square. There is no whole number that multiplies by itself to give 426. The nearest perfect squares are 400 and 441.

What is the largest factor of 426 other than itself?

The largest factor of 426 apart from 426 itself is 213, since 426 ÷ 213 = 2.

How many factors does 426 have?

426 has 8 factors: 1, 2, 3, 6, 71, 142, 213, and 426. You can verify this from the prime factorization 2 × 3 × 71: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

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.