Factor Calculator

Factors of 494

The factors of 494 are 1, 2, 13, 19, 26, 38, 247, and 494. In total, 494 has 8 factors. Its prime factorization is 2 × 13 × 19, and the sum of all its factors is 840.

All factors of 494

Here are all 8 factors of 494, listed from smallest to largest.

1213192638247494

Factor pairs of 494

These 4 pairs of whole numbers each multiply to give 494.

1 × 494 = 494
2 × 247 = 494
13 × 38 = 494
19 × 26 = 494

Prime factorization of 494

Dividing 494 by the smallest prime at each step gives its prime factorization:

494 ÷ 2 = 247
247 ÷ 13 = 19
19 ÷ 19 = 1
Result: 494 = 2 × 13 × 19 = 2 × 13 × 19

The distinct prime factors of 494 are 2, 13, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 494

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

Factor tree of 49449422471319
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 494

Number of factors8
Sum of factors840
Sum of proper factors346
Prime factorization2 × 13 × 19
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 494 interesting

  • 494 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.
  • 494 is a deficient number: its proper factors sum to 346, which is 148 less than 494 itself.
  • 494 has 3 distinct prime factors (2, 13, 19), which is why it has so many divisors.

How to find the factors of 494 yourself

Divide 494 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 √49422.23, because every factor above that pairs with one below it.

494 ÷ 1 = 494
494 ÷ 2 = 247
494 ÷ 13 = 38
494 ÷ 19 = 26

Reading both columns gives every factor: 1, 2, 13, 19, 26, 38, 247, 494. The factor calculator does this automatically for any number.

Frequently asked questions about 494

What are the factors of 494?

The factors of 494 are 1, 2, 13, 19, 26, 38, 247, and 494. That is 8 factors in total, counting both 1 and 494.

Is 494 a prime number?

No, 494 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 494 is also divisible by 2.

What is the prime factorization of 494?

The prime factorization of 494 is 2 × 13 × 19. Written out in full: 2 × 13 × 19 = 494. Its distinct prime factors are 2, 13, 19.

What two numbers multiply to give 494?

There are 4 pairs of whole numbers that multiply to 494: 1 × 494, 2 × 247, 13 × 38, 19 × 26.

What is the sum of the factors of 494?

Adding all the factors of 494 together gives 840. Excluding 494 itself, the proper factors sum to 346.

Is 494 a perfect square?

No, 494 is not a perfect square. There is no whole number that multiplies by itself to give 494. The nearest perfect squares are 484 and 529.

What is the largest factor of 494 other than itself?

The largest factor of 494 apart from 494 itself is 247, since 494 ÷ 247 = 2.

How many factors does 494 have?

494 has 8 factors: 1, 2, 13, 19, 26, 38, 247, and 494. You can verify this from the prime factorization 2 × 13 × 19: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 494 down further with the prime factorization calculator, or compare 494 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.