Factor Calculator

Factors of 759

The factors of 759 are 1, 3, 11, 23, 33, 69, 253, and 759. In total, 759 has 8 factors. Its prime factorization is 3 × 11 × 23, and the sum of all its factors is 1152.

All factors of 759

Here are all 8 factors of 759, listed from smallest to largest.

1311233369253759

Factor pairs of 759

These 4 pairs of whole numbers each multiply to give 759.

1 × 759 = 759
3 × 253 = 759
11 × 69 = 759
23 × 33 = 759

Prime factorization of 759

Dividing 759 by the smallest prime at each step gives its prime factorization:

759 ÷ 3 = 253
253 ÷ 11 = 23
23 ÷ 23 = 1
Result: 759 = 3 × 11 × 23 = 3 × 11 × 23

The distinct prime factors of 759 are 3, 11, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 759

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

Factor tree of 75975932531123
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 759

Number of factors8
Sum of factors1152
Sum of proper factors393
Prime factorization3 × 11 × 23
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 759 interesting

  • 759 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 759 is a deficient number: its proper factors sum to 393, which is 366 less than 759 itself.
  • 759 has 3 distinct prime factors (3, 11, 23), which is why it has so many divisors.

How to find the factors of 759 yourself

Divide 759 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 √759 ≈ 27.55, because every factor above that pairs with one below it.

759 ÷ 1 = 759 ✓
759 ÷ 3 = 253 ✓
759 ÷ 11 = 69 ✓
759 ÷ 23 = 33 ✓

Reading both columns gives every factor: 1, 3, 11, 23, 33, 69, 253, 759. The factor calculator does this automatically for any number.

Numbers mathematically connected to 759.

Frequently asked questions about 759

What are the factors of 759?

The factors of 759 are 1, 3, 11, 23, 33, 69, 253, and 759. That is 8 factors in total, counting both 1 and 759.

Is 759 a prime number?

No, 759 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 759 is also divisible by 3.

What is the prime factorization of 759?

The prime factorization of 759 is 3 × 11 × 23. Written out in full: 3 × 11 × 23 = 759. Its distinct prime factors are 3, 11, 23.

What two numbers multiply to give 759?

There are 4 pairs of whole numbers that multiply to 759: 1 × 759, 3 × 253, 11 × 69, 23 × 33.

What is the sum of the factors of 759?

Adding all the factors of 759 together gives 1152. Excluding 759 itself, the proper factors sum to 393.

Is 759 a perfect square?

No, 759 is not a perfect square. There is no whole number that multiplies by itself to give 759. The nearest perfect squares are 729 and 784.

What is the largest factor of 759 other than itself?

The largest factor of 759 apart from 759 itself is 253, since 759 ÷ 253 = 3.

How many factors does 759 have?

759 has 8 factors: 1, 3, 11, 23, 33, 69, 253, and 759. You can verify this from the prime factorization 3 × 11 × 23: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 759 down further with the prime factorization calculator, or compare 759 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.