Factor Calculator

Factors of 889

The factors of 889 are 1, 7, 127, and 889. In total, 889 has 4 factors. Its prime factorization is 7 × 127, and the sum of all its factors is 1024.

All factors of 889

Here are all 4 factors of 889, listed from smallest to largest.

17127889

Factor pairs of 889

These 2 pairs of whole numbers each multiply to give 889.

1 × 889 = 889
7 × 127 = 889

Prime factorization of 889

Dividing 889 by the smallest prime at each step gives its prime factorization:

889 ÷ 7 = 127
127 ÷ 127 = 1
Result: 889 = 7 × 127 = 7 × 127

The distinct prime factors of 889 are 7, 127. To factorize any other number, use the prime factorization calculator.

Factor tree of 889

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

Factor tree of 8898897127
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 889

Number of factors4
Sum of factors1024
Sum of proper factors135
Prime factorization7 × 127
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 889 interesting

  • 889 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.
  • 889 is a deficient number: its proper factors sum to 135, which is 754 less than 889 itself.

How to find the factors of 889 yourself

Divide 889 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 √88929.82, because every factor above that pairs with one below it.

889 ÷ 1 = 889
889 ÷ 7 = 127

Reading both columns gives every factor: 1, 7, 127, 889. The factor calculator does this automatically for any number.

Frequently asked questions about 889

What are the factors of 889?

The factors of 889 are 1, 7, 127, and 889. That is 4 factors in total, counting both 1 and 889.

Is 889 a prime number?

No, 889 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 889 is also divisible by 7.

What is the prime factorization of 889?

The prime factorization of 889 is 7 × 127. Written out in full: 7 × 127 = 889. Its distinct prime factors are 7, 127.

What two numbers multiply to give 889?

There are 2 pairs of whole numbers that multiply to 889: 1 × 889, 7 × 127.

What is the sum of the factors of 889?

Adding all the factors of 889 together gives 1024. Excluding 889 itself, the proper factors sum to 135.

Is 889 a perfect square?

No, 889 is not a perfect square. There is no whole number that multiplies by itself to give 889. The nearest perfect squares are 841 and 900.

What is the largest factor of 889 other than itself?

The largest factor of 889 apart from 889 itself is 127, since 889 ÷ 127 = 7.

How many factors does 889 have?

889 has 4 factors: 1, 7, 127, and 889. You can verify this from the prime factorization 7 × 127: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 889 down further with the prime factorization calculator, or compare 889 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.