Factor Calculator

Factors of 842

The factors of 842 are 1, 2, 421, and 842. In total, 842 has 4 factors. Its prime factorization is 2 × 421, and the sum of all its factors is 1266.

All factors of 842

Here are all 4 factors of 842, listed from smallest to largest.

12421842

Factor pairs of 842

These 2 pairs of whole numbers each multiply to give 842.

1 × 842 = 842
2 × 421 = 842

Prime factorization of 842

Dividing 842 by the smallest prime at each step gives its prime factorization:

842 ÷ 2 = 421
421 ÷ 421 = 1
Result: 842 = 2 × 421 = 2 × 421

The distinct prime factors of 842 are 2, 421. To factorize any other number, use the prime factorization calculator.

Factor tree of 842

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

Factor tree of 8428422421
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 842

Number of factors4
Sum of factors1266
Sum of proper factors424
Prime factorization2 × 421
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 842 interesting

  • 842 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 842 is a deficient number: its proper factors sum to 424, which is 418 less than 842 itself.

How to find the factors of 842 yourself

Divide 842 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 √84229.02, because every factor above that pairs with one below it.

842 ÷ 1 = 842
842 ÷ 2 = 421

Reading both columns gives every factor: 1, 2, 421, 842. The factor calculator does this automatically for any number.

Frequently asked questions about 842

What are the factors of 842?

The factors of 842 are 1, 2, 421, and 842. That is 4 factors in total, counting both 1 and 842.

Is 842 a prime number?

No, 842 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 842 is also divisible by 2.

What is the prime factorization of 842?

The prime factorization of 842 is 2 × 421. Written out in full: 2 × 421 = 842. Its distinct prime factors are 2, 421.

What two numbers multiply to give 842?

There are 2 pairs of whole numbers that multiply to 842: 1 × 842, 2 × 421.

What is the sum of the factors of 842?

Adding all the factors of 842 together gives 1266. Excluding 842 itself, the proper factors sum to 424.

Is 842 a perfect square?

No, 842 is not a perfect square. There is no whole number that multiplies by itself to give 842. The nearest perfect squares are 841 and 900.

What is the largest factor of 842 other than itself?

The largest factor of 842 apart from 842 itself is 421, since 842 ÷ 421 = 2.

How many factors does 842 have?

842 has 4 factors: 1, 2, 421, and 842. You can verify this from the prime factorization 2 × 421: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 842 down further with the prime factorization calculator, or compare 842 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.