Factor Calculator

Factors of 642

The factors of 642 are 1, 2, 3, 6, 107, 214, 321, and 642. In total, 642 has 8 factors. Its prime factorization is 2 × 3 × 107, and the sum of all its factors is 1296.

All factors of 642

Here are all 8 factors of 642, listed from smallest to largest.

1236107214321642

Factor pairs of 642

These 4 pairs of whole numbers each multiply to give 642.

1 × 642 = 642
2 × 321 = 642
3 × 214 = 642
6 × 107 = 642

Prime factorization of 642

Dividing 642 by the smallest prime at each step gives its prime factorization:

642 ÷ 2 = 321
321 ÷ 3 = 107
107 ÷ 107 = 1
Result: 642 = 2 × 3 × 107 = 2 × 3 × 107

The distinct prime factors of 642 are 2, 3, 107. To factorize any other number, use the prime factorization calculator.

Factor tree of 642

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 64264223213107
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 642

Number of factors8
Sum of factors1296
Sum of proper factors654
Prime factorization2 × 3 × 107
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 642 interesting

  • 642 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.
  • 642 is an abundant number: its proper factors sum to 654, which is 12 more than 642 itself.
  • 642 has 3 distinct prime factors (2, 3, 107), which is why it has so many divisors.

How to find the factors of 642 yourself

Divide 642 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 √64225.34, because every factor above that pairs with one below it.

642 ÷ 1 = 642
642 ÷ 2 = 321
642 ÷ 3 = 214
642 ÷ 6 = 107

Reading both columns gives every factor: 1, 2, 3, 6, 107, 214, 321, 642. The factor calculator does this automatically for any number.

Frequently asked questions about 642

What are the factors of 642?

The factors of 642 are 1, 2, 3, 6, 107, 214, 321, and 642. That is 8 factors in total, counting both 1 and 642.

Is 642 a prime number?

No, 642 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 642 is also divisible by 2.

What is the prime factorization of 642?

The prime factorization of 642 is 2 × 3 × 107. Written out in full: 2 × 3 × 107 = 642. Its distinct prime factors are 2, 3, 107.

What two numbers multiply to give 642?

There are 4 pairs of whole numbers that multiply to 642: 1 × 642, 2 × 321, 3 × 214, 6 × 107.

What is the sum of the factors of 642?

Adding all the factors of 642 together gives 1296. Excluding 642 itself, the proper factors sum to 654.

Is 642 a perfect square?

No, 642 is not a perfect square. There is no whole number that multiplies by itself to give 642. The nearest perfect squares are 625 and 676.

What is the largest factor of 642 other than itself?

The largest factor of 642 apart from 642 itself is 321, since 642 ÷ 321 = 2.

How many factors does 642 have?

642 has 8 factors: 1, 2, 3, 6, 107, 214, 321, and 642. You can verify this from the prime factorization 2 × 3 × 107: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 642 down further with the prime factorization calculator, or compare 642 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.