Factor Calculator

Factors of 789

The factors of 789 are 1, 3, 263, and 789. In total, 789 has 4 factors. Its prime factorization is 3 × 263, and the sum of all its factors is 1056.

All factors of 789

Here are all 4 factors of 789, listed from smallest to largest.

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Factor pairs of 789

These 2 pairs of whole numbers each multiply to give 789.

1 × 789 = 789
3 × 263 = 789

Prime factorization of 789

Dividing 789 by the smallest prime at each step gives its prime factorization:

789 ÷ 3 = 263
263 ÷ 263 = 1
Result: 789 = 3 × 263 = 3 × 263

The distinct prime factors of 789 are 3, 263. To factorize any other number, use the prime factorization calculator.

Factor tree of 789

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

Factor tree of 7897893263
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 789

Number of factors4
Sum of factors1056
Sum of proper factors267
Prime factorization3 × 263
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 789 interesting

  • 789 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.
  • 789 is a deficient number: its proper factors sum to 267, which is 522 less than 789 itself.

How to find the factors of 789 yourself

Divide 789 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 √78928.09, because every factor above that pairs with one below it.

789 ÷ 1 = 789
789 ÷ 3 = 263

Reading both columns gives every factor: 1, 3, 263, 789. The factor calculator does this automatically for any number.

Frequently asked questions about 789

What are the factors of 789?

The factors of 789 are 1, 3, 263, and 789. That is 4 factors in total, counting both 1 and 789.

Is 789 a prime number?

No, 789 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 789 is also divisible by 3.

What is the prime factorization of 789?

The prime factorization of 789 is 3 × 263. Written out in full: 3 × 263 = 789. Its distinct prime factors are 3, 263.

What two numbers multiply to give 789?

There are 2 pairs of whole numbers that multiply to 789: 1 × 789, 3 × 263.

What is the sum of the factors of 789?

Adding all the factors of 789 together gives 1056. Excluding 789 itself, the proper factors sum to 267.

Is 789 a perfect square?

No, 789 is not a perfect square. There is no whole number that multiplies by itself to give 789. The nearest perfect squares are 784 and 841.

What is the largest factor of 789 other than itself?

The largest factor of 789 apart from 789 itself is 263, since 789 ÷ 263 = 3.

How many factors does 789 have?

789 has 4 factors: 1, 3, 263, and 789. You can verify this from the prime factorization 3 × 263: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 789 down further with the prime factorization calculator, or compare 789 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.