Factor Calculator

Factors of 89

The factors of 89 are 1 and 89. Since 89 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 90, and its prime factorization is simply 89 itself.

All factors of 89

Here are all 2 factors of 89, listed from smallest to largest.

189

Factor pairs of 89

There is only one factor pair for 89, because it is prime.

1 × 89 = 89

Prime factorization of 89

89 is a prime number, so it cannot be broken down further. Its prime factorization is simply 89.

Properties of 89

Number of factors2
Sum of factors90
Sum of proper factors1
Prime factorization89
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 89 interesting

  • 89 is a prime number, so its only factors are 1 and 89. It cannot be split into a product of two smaller whole numbers.
  • Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.
  • 89 appears in the Fibonacci sequence, where each number is the sum of the two before it.

How to find the factors of 89 yourself

Divide 89 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 √89 ≈ 9.43, because every factor above that pairs with one below it.

89 ÷ 1 = 89 ✓

Reading both columns gives every factor: 1, 89. The factor calculator does this automatically for any number.

Numbers mathematically connected to 89.

Frequently asked questions about 89

What are the factors of 89?

The factors of 89 are 1 and 89. That is 2 factors in total, counting both 1 and 89.

Is 89 a prime number?

Yes, 89 is a prime number. It has exactly two factors: 1 and 89. No other whole number divides it evenly.

What is the prime factorization of 89?

89 is already prime, so its prime factorization is simply 89. It cannot be broken down any further.

What two numbers multiply to give 89?

There is 1 pair of whole numbers that multiply to 89: 1 × 89.

What is the sum of the factors of 89?

Adding all the factors of 89 together gives 90. Excluding 89 itself, the proper factors sum to 1.

Is 89 a perfect square?

No, 89 is not a perfect square. There is no whole number that multiplies by itself to give 89. The nearest perfect squares are 81 and 100.

What is the largest factor of 89 other than itself?

The largest factor of 89 apart from 89 itself is 1, since 89 ÷ 1 = 89.

How many factors does 89 have?

89 has 2 factors: 1 and 89.

Explore more

Try another number in the factor calculator, break 89 down further with the prime factorization calculator, or compare 89 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.