Factor Calculator

Factors of 996

The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, and 996. In total, 996 has 12 factors. Its prime factorization is 2² × 3 × 83, and the sum of all its factors is 2352.

All factors of 996

Here are all 12 factors of 996, listed from smallest to largest.

123461283166249332498996

Factor pairs of 996

These 6 pairs of whole numbers each multiply to give 996.

1 × 996 = 996
2 × 498 = 996
3 × 332 = 996
4 × 249 = 996
6 × 166 = 996
12 × 83 = 996

Prime factorization of 996

Dividing 996 by the smallest prime at each step gives its prime factorization:

996 ÷ 2 = 498
498 ÷ 2 = 249
249 ÷ 3 = 83
83 ÷ 83 = 1
Result: 996 = 2 × 2 × 3 × 83 = 2² × 3 × 83

The distinct prime factors of 996 are 2, 3, 83. To factorize any other number, use the prime factorization calculator.

Factor tree of 996

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

Factor tree of 99699624982249383
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 996

Number of factors12
Sum of factors2352
Sum of proper factors1356
Prime factorization2² × 3 × 83
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 996 interesting

  • 996 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 996 is an abundant number: its proper factors sum to 1356, which is 360 more than 996 itself.
  • 996 has 3 distinct prime factors (2, 3, 83), which is why it has so many divisors.

How to find the factors of 996 yourself

Divide 996 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 √996 ≈ 31.56, because every factor above that pairs with one below it.

996 ÷ 1 = 996 ✓
996 ÷ 2 = 498 ✓
996 ÷ 3 = 332 ✓
996 ÷ 4 = 249 ✓
996 ÷ 6 = 166 ✓
996 ÷ 12 = 83 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996. The factor calculator does this automatically for any number.

Numbers mathematically connected to 996.

Frequently asked questions about 996

What are the factors of 996?

The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, and 996. That is 12 factors in total, counting both 1 and 996.

Is 996 a prime number?

No, 996 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 996 is also divisible by 2.

What is the prime factorization of 996?

The prime factorization of 996 is 2² × 3 × 83. Written out in full: 2 × 2 × 3 × 83 = 996. Its distinct prime factors are 2, 3, 83.

What two numbers multiply to give 996?

There are 6 pairs of whole numbers that multiply to 996: 1 × 996, 2 × 498, 3 × 332, 4 × 249, 6 × 166, 12 × 83.

What is the sum of the factors of 996?

Adding all the factors of 996 together gives 2352. Excluding 996 itself, the proper factors sum to 1356.

Is 996 a perfect square?

No, 996 is not a perfect square. There is no whole number that multiplies by itself to give 996. The nearest perfect squares are 961 and 1024.

What is the largest factor of 996 other than itself?

The largest factor of 996 apart from 996 itself is 498, since 996 ÷ 498 = 2.

How many factors does 996 have?

996 has 12 factors: 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, and 996. You can verify this from the prime factorization 2² × 3 × 83: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 996 down further with the prime factorization calculator, or compare 996 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.