Factor Calculator

Factors of 962

The factors of 962 are 1, 2, 13, 26, 37, 74, 481, and 962. In total, 962 has 8 factors. Its prime factorization is 2 × 13 × 37, and the sum of all its factors is 1596.

All factors of 962

Here are all 8 factors of 962, listed from smallest to largest.

1213263774481962

Factor pairs of 962

These 4 pairs of whole numbers each multiply to give 962.

1 × 962 = 962
2 × 481 = 962
13 × 74 = 962
26 × 37 = 962

Prime factorization of 962

Dividing 962 by the smallest prime at each step gives its prime factorization:

962 ÷ 2 = 481
481 ÷ 13 = 37
37 ÷ 37 = 1
Result: 962 = 2 × 13 × 37 = 2 × 13 × 37

The distinct prime factors of 962 are 2, 13, 37. To factorize any other number, use the prime factorization calculator.

Factor tree of 962

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

Factor tree of 96296224811337
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 962

Number of factors8
Sum of factors1596
Sum of proper factors634
Prime factorization2 × 13 × 37
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 962 interesting

  • 962 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.
  • 962 is a deficient number: its proper factors sum to 634, which is 328 less than 962 itself.
  • 962 has 3 distinct prime factors (2, 13, 37), which is why it has so many divisors.

How to find the factors of 962 yourself

Divide 962 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 √962 ≈ 31.02, because every factor above that pairs with one below it.

962 ÷ 1 = 962 ✓
962 ÷ 2 = 481 ✓
962 ÷ 13 = 74 ✓
962 ÷ 26 = 37 ✓

Reading both columns gives every factor: 1, 2, 13, 26, 37, 74, 481, 962. The factor calculator does this automatically for any number.

Numbers mathematically connected to 962.

Frequently asked questions about 962

What are the factors of 962?

The factors of 962 are 1, 2, 13, 26, 37, 74, 481, and 962. That is 8 factors in total, counting both 1 and 962.

Is 962 a prime number?

No, 962 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 962 is also divisible by 2.

What is the prime factorization of 962?

The prime factorization of 962 is 2 × 13 × 37. Written out in full: 2 × 13 × 37 = 962. Its distinct prime factors are 2, 13, 37.

What two numbers multiply to give 962?

There are 4 pairs of whole numbers that multiply to 962: 1 × 962, 2 × 481, 13 × 74, 26 × 37.

What is the sum of the factors of 962?

Adding all the factors of 962 together gives 1596. Excluding 962 itself, the proper factors sum to 634.

Is 962 a perfect square?

No, 962 is not a perfect square. There is no whole number that multiplies by itself to give 962. The nearest perfect squares are 961 and 1024.

What is the largest factor of 962 other than itself?

The largest factor of 962 apart from 962 itself is 481, since 962 ÷ 481 = 2.

How many factors does 962 have?

962 has 8 factors: 1, 2, 13, 26, 37, 74, 481, and 962. You can verify this from the prime factorization 2 × 13 × 37: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 962 down further with the prime factorization calculator, or compare 962 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.