Factor Calculator

Factors of 62

The factors of 62 are 1, 2, 31, and 62. In total, 62 has 4 factors. Its prime factorization is 2 × 31, and the sum of all its factors is 96.

All factors of 62

Here are all 4 factors of 62, listed from smallest to largest.

123162

Factor pairs of 62

These 2 pairs of whole numbers each multiply to give 62.

1 × 62 = 62
2 × 31 = 62

Prime factorization of 62

Dividing 62 by the smallest prime at each step gives its prime factorization:

62 ÷ 2 = 31
31 ÷ 31 = 1
Result: 62 = 2 × 31 = 2 × 31

The distinct prime factors of 62 are 2, 31. To factorize any other number, use the prime factorization calculator.

Factor tree of 62

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

Factor tree of 6262231
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 62

Number of factors4
Sum of factors96
Sum of proper factors34
Prime factorization2 × 31
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 62 interesting

  • 62 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.
  • 62 is a deficient number: its proper factors sum to 34, which is 28 less than 62 itself.

How to find the factors of 62 yourself

Divide 62 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 √627.87, because every factor above that pairs with one below it.

62 ÷ 1 = 62
62 ÷ 2 = 31

Reading both columns gives every factor: 1, 2, 31, 62. The factor calculator does this automatically for any number.

Frequently asked questions about 62

What are the factors of 62?

The factors of 62 are 1, 2, 31, and 62. That is 4 factors in total, counting both 1 and 62.

Is 62 a prime number?

No, 62 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 62 is also divisible by 2.

What is the prime factorization of 62?

The prime factorization of 62 is 2 × 31. Written out in full: 2 × 31 = 62. Its distinct prime factors are 2, 31.

What two numbers multiply to give 62?

There are 2 pairs of whole numbers that multiply to 62: 1 × 62, 2 × 31.

What is the sum of the factors of 62?

Adding all the factors of 62 together gives 96. Excluding 62 itself, the proper factors sum to 34.

Is 62 a perfect square?

No, 62 is not a perfect square. There is no whole number that multiplies by itself to give 62. The nearest perfect squares are 49 and 64.

What is the largest factor of 62 other than itself?

The largest factor of 62 apart from 62 itself is 31, since 62 ÷ 31 = 2.

How many factors does 62 have?

62 has 4 factors: 1, 2, 31, and 62. You can verify this from the prime factorization 2 × 31: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 62 down further with the prime factorization calculator, or compare 62 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.