Factor Calculator

Factors of 490

The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, and 490. In total, 490 has 12 factors. Its prime factorization is 2 × 5 × 7², and the sum of all its factors is 1026.

All factors of 490

Here are all 12 factors of 490, listed from smallest to largest.

1257101435497098245490

Factor pairs of 490

These 6 pairs of whole numbers each multiply to give 490.

1 × 490 = 490
2 × 245 = 490
5 × 98 = 490
7 × 70 = 490
10 × 49 = 490
14 × 35 = 490

Prime factorization of 490

Dividing 490 by the smallest prime at each step gives its prime factorization:

490 ÷ 2 = 245
245 ÷ 5 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
Result: 490 = 2 × 5 × 7 × 7 = 2 × 5 × 7²

The distinct prime factors of 490 are 2, 5, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 490

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

Factor tree of 490490224554977
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 490

Number of factors12
Sum of factors1026
Sum of proper factors536
Prime factorization2 × 5 × 7²
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 490 interesting

  • 490 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.
  • 490 is an abundant number: its proper factors sum to 536, which is 46 more than 490 itself.
  • 490 has 3 distinct prime factors (2, 5, 7), which is why it has so many divisors.

How to find the factors of 490 yourself

Divide 490 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 √49022.14, because every factor above that pairs with one below it.

490 ÷ 1 = 490
490 ÷ 2 = 245
490 ÷ 5 = 98
490 ÷ 7 = 70
490 ÷ 10 = 49
490 ÷ 14 = 35

Reading both columns gives every factor: 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490. The factor calculator does this automatically for any number.

Frequently asked questions about 490

What are the factors of 490?

The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, and 490. That is 12 factors in total, counting both 1 and 490.

Is 490 a prime number?

No, 490 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 490 is also divisible by 2.

What is the prime factorization of 490?

The prime factorization of 490 is 2 × 5 × 7². Written out in full: 2 × 5 × 7 × 7 = 490. Its distinct prime factors are 2, 5, 7.

What two numbers multiply to give 490?

There are 6 pairs of whole numbers that multiply to 490: 1 × 490, 2 × 245, 5 × 98, 7 × 70, 10 × 49, 14 × 35.

What is the sum of the factors of 490?

Adding all the factors of 490 together gives 1026. Excluding 490 itself, the proper factors sum to 536.

Is 490 a perfect square?

No, 490 is not a perfect square. There is no whole number that multiplies by itself to give 490. The nearest perfect squares are 484 and 529.

What is the largest factor of 490 other than itself?

The largest factor of 490 apart from 490 itself is 245, since 490 ÷ 245 = 2.

How many factors does 490 have?

490 has 12 factors: 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, and 490. You can verify this from the prime factorization 2 × 5 × 7²: add 1 to each exponent and multiply, giving 2 × 2 × 3 = 12.

Explore more

Try another number in the factor calculator, break 490 down further with the prime factorization calculator, or compare 490 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.