Factor Calculator

Factors of 970

The factors of 970 are 1, 2, 5, 10, 97, 194, 485, and 970. In total, 970 has 8 factors. Its prime factorization is 2 × 5 × 97, and the sum of all its factors is 1764.

All factors of 970

Here are all 8 factors of 970, listed from smallest to largest.

1251097194485970

Factor pairs of 970

These 4 pairs of whole numbers each multiply to give 970.

1 × 970 = 970
2 × 485 = 970
5 × 194 = 970
10 × 97 = 970

Prime factorization of 970

Dividing 970 by the smallest prime at each step gives its prime factorization:

970 ÷ 2 = 485
485 ÷ 5 = 97
97 ÷ 97 = 1
Result: 970 = 2 × 5 × 97 = 2 × 5 × 97

The distinct prime factors of 970 are 2, 5, 97. To factorize any other number, use the prime factorization calculator.

Factor tree of 970

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

Factor tree of 9709702485597
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 970

Number of factors8
Sum of factors1764
Sum of proper factors794
Prime factorization2 × 5 × 97
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 970 interesting

  • 970 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.
  • 970 is a deficient number: its proper factors sum to 794, which is 176 less than 970 itself.
  • 970 has 3 distinct prime factors (2, 5, 97), which is why it has so many divisors.

How to find the factors of 970 yourself

Divide 970 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 √97031.14, because every factor above that pairs with one below it.

970 ÷ 1 = 970
970 ÷ 2 = 485
970 ÷ 5 = 194
970 ÷ 10 = 97

Reading both columns gives every factor: 1, 2, 5, 10, 97, 194, 485, 970. The factor calculator does this automatically for any number.

Frequently asked questions about 970

What are the factors of 970?

The factors of 970 are 1, 2, 5, 10, 97, 194, 485, and 970. That is 8 factors in total, counting both 1 and 970.

Is 970 a prime number?

No, 970 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 970 is also divisible by 2.

What is the prime factorization of 970?

The prime factorization of 970 is 2 × 5 × 97. Written out in full: 2 × 5 × 97 = 970. Its distinct prime factors are 2, 5, 97.

What two numbers multiply to give 970?

There are 4 pairs of whole numbers that multiply to 970: 1 × 970, 2 × 485, 5 × 194, 10 × 97.

What is the sum of the factors of 970?

Adding all the factors of 970 together gives 1764. Excluding 970 itself, the proper factors sum to 794.

Is 970 a perfect square?

No, 970 is not a perfect square. There is no whole number that multiplies by itself to give 970. The nearest perfect squares are 961 and 1024.

What is the largest factor of 970 other than itself?

The largest factor of 970 apart from 970 itself is 485, since 970 ÷ 485 = 2.

How many factors does 970 have?

970 has 8 factors: 1, 2, 5, 10, 97, 194, 485, and 970. You can verify this from the prime factorization 2 × 5 × 97: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 970 down further with the prime factorization calculator, or compare 970 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.