Factor Calculator

Factors of 989

The factors of 989 are 1, 23, 43, and 989. In total, 989 has 4 factors. Its prime factorization is 23 × 43, and the sum of all its factors is 1056.

All factors of 989

Here are all 4 factors of 989, listed from smallest to largest.

12343989

Factor pairs of 989

These 2 pairs of whole numbers each multiply to give 989.

1 × 989 = 989
23 × 43 = 989

Prime factorization of 989

Dividing 989 by the smallest prime at each step gives its prime factorization:

989 ÷ 23 = 43
43 ÷ 43 = 1
Result: 989 = 23 × 43 = 23 × 43

The distinct prime factors of 989 are 23, 43. To factorize any other number, use the prime factorization calculator.

Factor tree of 989

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

Factor tree of 9899892343
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 989

Number of factors4
Sum of factors1056
Sum of proper factors67
Prime factorization23 × 43
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 989 interesting

  • 989 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 989 is a deficient number: its proper factors sum to 67, which is 922 less than 989 itself.

How to find the factors of 989 yourself

Divide 989 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 √98931.45, because every factor above that pairs with one below it.

989 ÷ 1 = 989
989 ÷ 23 = 43

Reading both columns gives every factor: 1, 23, 43, 989. The factor calculator does this automatically for any number.

Frequently asked questions about 989

What are the factors of 989?

The factors of 989 are 1, 23, 43, and 989. That is 4 factors in total, counting both 1 and 989.

Is 989 a prime number?

No, 989 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 989 is also divisible by 23.

What is the prime factorization of 989?

The prime factorization of 989 is 23 × 43. Written out in full: 23 × 43 = 989. Its distinct prime factors are 23, 43.

What two numbers multiply to give 989?

There are 2 pairs of whole numbers that multiply to 989: 1 × 989, 23 × 43.

What is the sum of the factors of 989?

Adding all the factors of 989 together gives 1056. Excluding 989 itself, the proper factors sum to 67.

Is 989 a perfect square?

No, 989 is not a perfect square. There is no whole number that multiplies by itself to give 989. The nearest perfect squares are 961 and 1024.

What is the largest factor of 989 other than itself?

The largest factor of 989 apart from 989 itself is 43, since 989 ÷ 43 = 23.

How many factors does 989 have?

989 has 4 factors: 1, 23, 43, and 989. You can verify this from the prime factorization 23 × 43: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 989 down further with the prime factorization calculator, or compare 989 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.