Factor Calculator

Factors of 492

The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, and 492. In total, 492 has 12 factors. Its prime factorization is 2² × 3 × 41, and the sum of all its factors is 1176.

All factors of 492

Here are all 12 factors of 492, listed from smallest to largest.

12346124182123164246492

Factor pairs of 492

These 6 pairs of whole numbers each multiply to give 492.

1 × 492 = 492
2 × 246 = 492
3 × 164 = 492
4 × 123 = 492
6 × 82 = 492
12 × 41 = 492

Prime factorization of 492

Dividing 492 by the smallest prime at each step gives its prime factorization:

492 ÷ 2 = 246
246 ÷ 2 = 123
123 ÷ 3 = 41
41 ÷ 41 = 1
Result: 492 = 2 × 2 × 3 × 41 = 2² × 3 × 41

The distinct prime factors of 492 are 2, 3, 41. To factorize any other number, use the prime factorization calculator.

Factor tree of 492

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

Factor tree of 49249222462123341
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 492

Number of factors12
Sum of factors1176
Sum of proper factors684
Prime factorization2² × 3 × 41
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 492 interesting

  • 492 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.
  • 492 is an abundant number: its proper factors sum to 684, which is 192 more than 492 itself.
  • 492 has 3 distinct prime factors (2, 3, 41), which is why it has so many divisors.

How to find the factors of 492 yourself

Divide 492 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 √492 ≈ 22.18, because every factor above that pairs with one below it.

492 ÷ 1 = 492 ✓
492 ÷ 2 = 246 ✓
492 ÷ 3 = 164 ✓
492 ÷ 4 = 123 ✓
492 ÷ 6 = 82 ✓
492 ÷ 12 = 41 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492. The factor calculator does this automatically for any number.

Numbers mathematically connected to 492.

Frequently asked questions about 492

What are the factors of 492?

The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, and 492. That is 12 factors in total, counting both 1 and 492.

Is 492 a prime number?

No, 492 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 492 is also divisible by 2.

What is the prime factorization of 492?

The prime factorization of 492 is 2² × 3 × 41. Written out in full: 2 × 2 × 3 × 41 = 492. Its distinct prime factors are 2, 3, 41.

What two numbers multiply to give 492?

There are 6 pairs of whole numbers that multiply to 492: 1 × 492, 2 × 246, 3 × 164, 4 × 123, 6 × 82, 12 × 41.

What is the sum of the factors of 492?

Adding all the factors of 492 together gives 1176. Excluding 492 itself, the proper factors sum to 684.

Is 492 a perfect square?

No, 492 is not a perfect square. There is no whole number that multiplies by itself to give 492. The nearest perfect squares are 484 and 529.

What is the largest factor of 492 other than itself?

The largest factor of 492 apart from 492 itself is 246, since 492 ÷ 246 = 2.

How many factors does 492 have?

492 has 12 factors: 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, and 492. You can verify this from the prime factorization 2² × 3 × 41: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 492 down further with the prime factorization calculator, or compare 492 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.