Factor Calculator

Factors of 771

The factors of 771 are 1, 3, 257, and 771. In total, 771 has 4 factors. Its prime factorization is 3 × 257, and the sum of all its factors is 1032.

All factors of 771

Here are all 4 factors of 771, listed from smallest to largest.

13257771

Factor pairs of 771

These 2 pairs of whole numbers each multiply to give 771.

1 × 771 = 771
3 × 257 = 771

Prime factorization of 771

Dividing 771 by the smallest prime at each step gives its prime factorization:

771 ÷ 3 = 257
257 ÷ 257 = 1
Result: 771 = 3 × 257 = 3 × 257

The distinct prime factors of 771 are 3, 257. To factorize any other number, use the prime factorization calculator.

Factor tree of 771

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

Factor tree of 7717713257
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 771

Number of factors4
Sum of factors1032
Sum of proper factors261
Prime factorization3 × 257
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 771 interesting

  • 771 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.
  • 771 is a deficient number: its proper factors sum to 261, which is 510 less than 771 itself.

How to find the factors of 771 yourself

Divide 771 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 √77127.77, because every factor above that pairs with one below it.

771 ÷ 1 = 771
771 ÷ 3 = 257

Reading both columns gives every factor: 1, 3, 257, 771. The factor calculator does this automatically for any number.

Frequently asked questions about 771

What are the factors of 771?

The factors of 771 are 1, 3, 257, and 771. That is 4 factors in total, counting both 1 and 771.

Is 771 a prime number?

No, 771 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 771 is also divisible by 3.

What is the prime factorization of 771?

The prime factorization of 771 is 3 × 257. Written out in full: 3 × 257 = 771. Its distinct prime factors are 3, 257.

What two numbers multiply to give 771?

There are 2 pairs of whole numbers that multiply to 771: 1 × 771, 3 × 257.

What is the sum of the factors of 771?

Adding all the factors of 771 together gives 1032. Excluding 771 itself, the proper factors sum to 261.

Is 771 a perfect square?

No, 771 is not a perfect square. There is no whole number that multiplies by itself to give 771. The nearest perfect squares are 729 and 784.

What is the largest factor of 771 other than itself?

The largest factor of 771 apart from 771 itself is 257, since 771 ÷ 257 = 3.

How many factors does 771 have?

771 has 4 factors: 1, 3, 257, and 771. You can verify this from the prime factorization 3 × 257: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 771 down further with the prime factorization calculator, or compare 771 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.