Factor Calculator

Factors of 767

The factors of 767 are 1, 13, 59, and 767. In total, 767 has 4 factors. Its prime factorization is 13 × 59, and the sum of all its factors is 840.

All factors of 767

Here are all 4 factors of 767, listed from smallest to largest.

11359767

Factor pairs of 767

These 2 pairs of whole numbers each multiply to give 767.

1 × 767 = 767
13 × 59 = 767

Prime factorization of 767

Dividing 767 by the smallest prime at each step gives its prime factorization:

767 ÷ 13 = 59
59 ÷ 59 = 1
Result: 767 = 13 × 59 = 13 × 59

The distinct prime factors of 767 are 13, 59. To factorize any other number, use the prime factorization calculator.

Factor tree of 767

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

Factor tree of 7677671359
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 767

Number of factors4
Sum of factors840
Sum of proper factors73
Prime factorization13 × 59
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 767 interesting

  • 767 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.
  • 767 is a deficient number: its proper factors sum to 73, which is 694 less than 767 itself.

How to find the factors of 767 yourself

Divide 767 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 √767 ≈ 27.69, because every factor above that pairs with one below it.

767 ÷ 1 = 767 ✓
767 ÷ 13 = 59 ✓

Reading both columns gives every factor: 1, 13, 59, 767. The factor calculator does this automatically for any number.

Numbers mathematically connected to 767.

Frequently asked questions about 767

What are the factors of 767?

The factors of 767 are 1, 13, 59, and 767. That is 4 factors in total, counting both 1 and 767.

Is 767 a prime number?

No, 767 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 767 is also divisible by 13.

What is the prime factorization of 767?

The prime factorization of 767 is 13 × 59. Written out in full: 13 × 59 = 767. Its distinct prime factors are 13, 59.

What two numbers multiply to give 767?

There are 2 pairs of whole numbers that multiply to 767: 1 × 767, 13 × 59.

What is the sum of the factors of 767?

Adding all the factors of 767 together gives 840. Excluding 767 itself, the proper factors sum to 73.

Is 767 a perfect square?

No, 767 is not a perfect square. There is no whole number that multiplies by itself to give 767. The nearest perfect squares are 729 and 784.

What is the largest factor of 767 other than itself?

The largest factor of 767 apart from 767 itself is 59, since 767 ÷ 59 = 13.

How many factors does 767 have?

767 has 4 factors: 1, 13, 59, and 767. You can verify this from the prime factorization 13 × 59: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 767 down further with the prime factorization calculator, or compare 767 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.