Factor Calculator

Factors of 775

The factors of 775 are 1, 5, 25, 31, 155, and 775. In total, 775 has 6 factors. Its prime factorization is 5² × 31, and the sum of all its factors is 992.

All factors of 775

Here are all 6 factors of 775, listed from smallest to largest.

152531155775

Factor pairs of 775

These 3 pairs of whole numbers each multiply to give 775.

1 × 775 = 775
5 × 155 = 775
25 × 31 = 775

Prime factorization of 775

Dividing 775 by the smallest prime at each step gives its prime factorization:

775 ÷ 5 = 155
155 ÷ 5 = 31
31 ÷ 31 = 1
Result: 775 = 5 × 5 × 31 = 5² × 31

The distinct prime factors of 775 are 5, 31. To factorize any other number, use the prime factorization calculator.

Factor tree of 775

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

Factor tree of 7757755155531
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 775

Number of factors6
Sum of factors992
Sum of proper factors217
Prime factorization5² × 31
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 775 interesting

  • 775 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 775 is a deficient number: its proper factors sum to 217, which is 558 less than 775 itself.

How to find the factors of 775 yourself

Divide 775 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 √775 ≈ 27.84, because every factor above that pairs with one below it.

775 ÷ 1 = 775 ✓
775 ÷ 5 = 155 ✓
775 ÷ 25 = 31 ✓

Reading both columns gives every factor: 1, 5, 25, 31, 155, 775. The factor calculator does this automatically for any number.

Numbers mathematically connected to 775.

Frequently asked questions about 775

What are the factors of 775?

The factors of 775 are 1, 5, 25, 31, 155, and 775. That is 6 factors in total, counting both 1 and 775.

Is 775 a prime number?

No, 775 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 775 is also divisible by 5.

What is the prime factorization of 775?

The prime factorization of 775 is 5² × 31. Written out in full: 5 × 5 × 31 = 775. Its distinct prime factors are 5, 31.

What two numbers multiply to give 775?

There are 3 pairs of whole numbers that multiply to 775: 1 × 775, 5 × 155, 25 × 31.

What is the sum of the factors of 775?

Adding all the factors of 775 together gives 992. Excluding 775 itself, the proper factors sum to 217.

Is 775 a perfect square?

No, 775 is not a perfect square. There is no whole number that multiplies by itself to give 775. The nearest perfect squares are 729 and 784.

What is the largest factor of 775 other than itself?

The largest factor of 775 apart from 775 itself is 155, since 775 ÷ 155 = 5.

How many factors does 775 have?

775 has 6 factors: 1, 5, 25, 31, 155, and 775. You can verify this from the prime factorization 5² × 31: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 775 down further with the prime factorization calculator, or compare 775 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.