Factor Calculator

Factors of 980

The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, and 980. In total, 980 has 18 factors. Its prime factorization is 2² × 5 × 7², and the sum of all its factors is 2394.

All factors of 980

Here are all 18 factors of 980, listed from smallest to largest.

124571014202835497098140196245490980

Factor pairs of 980

These 9 pairs of whole numbers each multiply to give 980.

1 × 980 = 980
2 × 490 = 980
4 × 245 = 980
5 × 196 = 980
7 × 140 = 980
10 × 98 = 980
14 × 70 = 980
20 × 49 = 980
28 × 35 = 980

Prime factorization of 980

Dividing 980 by the smallest prime at each step gives its prime factorization:

980 ÷ 2 = 490
490 ÷ 2 = 245
245 ÷ 5 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
Result: 980 = 2 × 2 × 5 × 7 × 7 = 2² × 5 × 7²

The distinct prime factors of 980 are 2, 5, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 980

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

Factor tree of 9809802490224554977
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 980

Number of factors18
Sum of factors2394
Sum of proper factors1414
Prime factorization2² × 5 × 7²
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 980 interesting

  • 980 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 9 different ways.
  • 980 is an abundant number: its proper factors sum to 1414, which is 434 more than 980 itself.
  • 980 has 3 distinct prime factors (2, 5, 7), which is why it has so many divisors.

How to find the factors of 980 yourself

Divide 980 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 √98031.30, because every factor above that pairs with one below it.

980 ÷ 1 = 980
980 ÷ 2 = 490
980 ÷ 4 = 245
980 ÷ 5 = 196
980 ÷ 7 = 140
980 ÷ 10 = 98
980 ÷ 14 = 70
980 ÷ 20 = 49
980 ÷ 28 = 35

Reading both columns gives every factor: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980. The factor calculator does this automatically for any number.

Frequently asked questions about 980

What are the factors of 980?

The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, and 980. That is 18 factors in total, counting both 1 and 980.

Is 980 a prime number?

No, 980 is not prime — it is a composite number with 18 factors. A prime number has exactly two factors, but 980 is also divisible by 2.

What is the prime factorization of 980?

The prime factorization of 980 is 2² × 5 × 7². Written out in full: 2 × 2 × 5 × 7 × 7 = 980. Its distinct prime factors are 2, 5, 7.

What two numbers multiply to give 980?

There are 9 pairs of whole numbers that multiply to 980: 1 × 980, 2 × 490, 4 × 245, 5 × 196, 7 × 140, 10 × 98, 14 × 70, 20 × 49, 28 × 35.

What is the sum of the factors of 980?

Adding all the factors of 980 together gives 2394. Excluding 980 itself, the proper factors sum to 1414.

Is 980 a perfect square?

No, 980 is not a perfect square. There is no whole number that multiplies by itself to give 980. The nearest perfect squares are 961 and 1024.

What is the largest factor of 980 other than itself?

The largest factor of 980 apart from 980 itself is 490, since 980 ÷ 490 = 2.

How many factors does 980 have?

980 has 18 factors: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, and 980. You can verify this from the prime factorization 2² × 5 × 7²: add 1 to each exponent and multiply, giving 3 × 2 × 3 = 18.

Explore more

Try another number in the factor calculator, break 980 down further with the prime factorization calculator, or compare 980 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.