Factor Calculator

Factors of 689

The factors of 689 are 1, 13, 53, and 689. In total, 689 has 4 factors. Its prime factorization is 13 × 53, and the sum of all its factors is 756.

All factors of 689

Here are all 4 factors of 689, listed from smallest to largest.

11353689

Factor pairs of 689

These 2 pairs of whole numbers each multiply to give 689.

1 × 689 = 689
13 × 53 = 689

Prime factorization of 689

Dividing 689 by the smallest prime at each step gives its prime factorization:

689 ÷ 13 = 53
53 ÷ 53 = 1
Result: 689 = 13 × 53 = 13 × 53

The distinct prime factors of 689 are 13, 53. To factorize any other number, use the prime factorization calculator.

Factor tree of 689

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

Factor tree of 6896891353
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 689

Number of factors4
Sum of factors756
Sum of proper factors67
Prime factorization13 × 53
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 689 interesting

  • 689 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.
  • 689 is a deficient number: its proper factors sum to 67, which is 622 less than 689 itself.

How to find the factors of 689 yourself

Divide 689 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 √689 ≈ 26.25, because every factor above that pairs with one below it.

689 ÷ 1 = 689 ✓
689 ÷ 13 = 53 ✓

Reading both columns gives every factor: 1, 13, 53, 689. The factor calculator does this automatically for any number.

Numbers mathematically connected to 689.

Frequently asked questions about 689

What are the factors of 689?

The factors of 689 are 1, 13, 53, and 689. That is 4 factors in total, counting both 1 and 689.

Is 689 a prime number?

No, 689 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 689 is also divisible by 13.

What is the prime factorization of 689?

The prime factorization of 689 is 13 × 53. Written out in full: 13 × 53 = 689. Its distinct prime factors are 13, 53.

What two numbers multiply to give 689?

There are 2 pairs of whole numbers that multiply to 689: 1 × 689, 13 × 53.

What is the sum of the factors of 689?

Adding all the factors of 689 together gives 756. Excluding 689 itself, the proper factors sum to 67.

Is 689 a perfect square?

No, 689 is not a perfect square. There is no whole number that multiplies by itself to give 689. The nearest perfect squares are 676 and 729.

What is the largest factor of 689 other than itself?

The largest factor of 689 apart from 689 itself is 53, since 689 ÷ 53 = 13.

How many factors does 689 have?

689 has 4 factors: 1, 13, 53, and 689. You can verify this from the prime factorization 13 × 53: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 689 down further with the prime factorization calculator, or compare 689 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.