Factor Calculator

Factors of 981

The factors of 981 are 1, 3, 9, 109, 327, and 981. In total, 981 has 6 factors. Its prime factorization is 3² × 109, and the sum of all its factors is 1430.

All factors of 981

Here are all 6 factors of 981, listed from smallest to largest.

139109327981

Factor pairs of 981

These 3 pairs of whole numbers each multiply to give 981.

1 × 981 = 981
3 × 327 = 981
9 × 109 = 981

Prime factorization of 981

Dividing 981 by the smallest prime at each step gives its prime factorization:

981 ÷ 3 = 327
327 ÷ 3 = 109
109 ÷ 109 = 1
Result: 981 = 3 × 3 × 109 = 3² × 109

The distinct prime factors of 981 are 3, 109. To factorize any other number, use the prime factorization calculator.

Factor tree of 981

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

Factor tree of 98198133273109
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 981

Number of factors6
Sum of factors1430
Sum of proper factors449
Prime factorization3² × 109
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 981 interesting

  • 981 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 981 is a deficient number: its proper factors sum to 449, which is 532 less than 981 itself.

How to find the factors of 981 yourself

Divide 981 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 √981 ≈ 31.32, because every factor above that pairs with one below it.

981 ÷ 1 = 981 ✓
981 ÷ 3 = 327 ✓
981 ÷ 9 = 109 ✓

Reading both columns gives every factor: 1, 3, 9, 109, 327, 981. The factor calculator does this automatically for any number.

Numbers mathematically connected to 981.

Frequently asked questions about 981

What are the factors of 981?

The factors of 981 are 1, 3, 9, 109, 327, and 981. That is 6 factors in total, counting both 1 and 981.

Is 981 a prime number?

No, 981 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 981 is also divisible by 3.

What is the prime factorization of 981?

The prime factorization of 981 is 3² × 109. Written out in full: 3 × 3 × 109 = 981. Its distinct prime factors are 3, 109.

What two numbers multiply to give 981?

There are 3 pairs of whole numbers that multiply to 981: 1 × 981, 3 × 327, 9 × 109.

What is the sum of the factors of 981?

Adding all the factors of 981 together gives 1430. Excluding 981 itself, the proper factors sum to 449.

Is 981 a perfect square?

No, 981 is not a perfect square. There is no whole number that multiplies by itself to give 981. The nearest perfect squares are 961 and 1024.

What is the largest factor of 981 other than itself?

The largest factor of 981 apart from 981 itself is 327, since 981 ÷ 327 = 3.

How many factors does 981 have?

981 has 6 factors: 1, 3, 9, 109, 327, and 981. You can verify this from the prime factorization 3² × 109: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 981 down further with the prime factorization calculator, or compare 981 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.