Factor Calculator

Factors of 496

The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, and 496. In total, 496 has 10 factors. Its prime factorization is 2⁴ × 31, and the sum of all its factors is 992. 496 is a perfect number — its proper factors add up to exactly 496.

All factors of 496

Here are all 10 factors of 496, listed from smallest to largest.

1248163162124248496

Factor pairs of 496

These 5 pairs of whole numbers each multiply to give 496.

1 × 496 = 496
2 × 248 = 496
4 × 124 = 496
8 × 62 = 496
16 × 31 = 496

Prime factorization of 496

Dividing 496 by the smallest prime at each step gives its prime factorization:

496 ÷ 2 = 248
248 ÷ 2 = 124
124 ÷ 2 = 62
62 ÷ 2 = 31
31 ÷ 31 = 1
Result: 496 = 2 × 2 × 2 × 2 × 31 = 2⁴ × 31

The distinct prime factors of 496 are 2, 31. To factorize any other number, use the prime factorization calculator.

Factor tree of 496

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

Factor tree of 49649622482124262231
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 496

Number of factors10
Sum of factors992
Sum of proper factors496
Prime factorization2⁴ × 31
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationPerfect

What makes 496 interesting

  • 496 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 5 different ways.
  • 496 is a perfect number — a rare classification. Its proper factors (1, 2, 4, 8, 16, 31, 62, 124, 248) add up to exactly 496. Only 51 perfect numbers are known.
  • 496 is a triangular number — it is the sum of the first 31 whole numbers (1 + 2 + … + 31 = 496).

How to find the factors of 496 yourself

Divide 496 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 √496 ≈ 22.27, because every factor above that pairs with one below it.

496 ÷ 1 = 496 ✓
496 ÷ 2 = 248 ✓
496 ÷ 4 = 124 ✓
496 ÷ 8 = 62 ✓
496 ÷ 16 = 31 ✓

Reading both columns gives every factor: 1, 2, 4, 8, 16, 31, 62, 124, 248, 496. The factor calculator does this automatically for any number.

Numbers mathematically connected to 496.

Frequently asked questions about 496

What are the factors of 496?

The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, and 496. That is 10 factors in total, counting both 1 and 496.

Is 496 a prime number?

No, 496 is not prime — it is a composite number with 10 factors. A prime number has exactly two factors, but 496 is also divisible by 2.

What is the prime factorization of 496?

The prime factorization of 496 is 2⁴ × 31. Written out in full: 2 × 2 × 2 × 2 × 31 = 496. Its distinct prime factors are 2, 31.

What two numbers multiply to give 496?

There are 5 pairs of whole numbers that multiply to 496: 1 × 496, 2 × 248, 4 × 124, 8 × 62, 16 × 31.

What is the sum of the factors of 496?

Adding all the factors of 496 together gives 992. Excluding 496 itself, the proper factors sum to 496.

Is 496 a perfect square?

No, 496 is not a perfect square. There is no whole number that multiplies by itself to give 496. The nearest perfect squares are 484 and 529.

What is the largest factor of 496 other than itself?

The largest factor of 496 apart from 496 itself is 248, since 496 ÷ 248 = 2.

How many factors does 496 have?

496 has 10 factors: 1, 2, 4, 8, 16, 31, 62, 124, 248, and 496. You can verify this from the prime factorization 2⁴ × 31: add 1 to each exponent and multiply, giving 5 × 2 = 10.

Explore more

Try another number in the factor calculator, break 496 down further with the prime factorization calculator, or compare 496 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.