Factor Calculator

Factors of 795

The factors of 795 are 1, 3, 5, 15, 53, 159, 265, and 795. In total, 795 has 8 factors. Its prime factorization is 3 × 5 × 53, and the sum of all its factors is 1296.

All factors of 795

Here are all 8 factors of 795, listed from smallest to largest.

1351553159265795

Factor pairs of 795

These 4 pairs of whole numbers each multiply to give 795.

1 × 795 = 795
3 × 265 = 795
5 × 159 = 795
15 × 53 = 795

Prime factorization of 795

Dividing 795 by the smallest prime at each step gives its prime factorization:

795 ÷ 3 = 265
265 ÷ 5 = 53
53 ÷ 53 = 1
Result: 795 = 3 × 5 × 53 = 3 × 5 × 53

The distinct prime factors of 795 are 3, 5, 53. To factorize any other number, use the prime factorization calculator.

Factor tree of 795

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

Factor tree of 7957953265553
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 795

Number of factors8
Sum of factors1296
Sum of proper factors501
Prime factorization3 × 5 × 53
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 795 interesting

  • 795 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.
  • 795 is a deficient number: its proper factors sum to 501, which is 294 less than 795 itself.
  • 795 has 3 distinct prime factors (3, 5, 53), which is why it has so many divisors.

How to find the factors of 795 yourself

Divide 795 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 √79528.20, because every factor above that pairs with one below it.

795 ÷ 1 = 795
795 ÷ 3 = 265
795 ÷ 5 = 159
795 ÷ 15 = 53

Reading both columns gives every factor: 1, 3, 5, 15, 53, 159, 265, 795. The factor calculator does this automatically for any number.

Frequently asked questions about 795

What are the factors of 795?

The factors of 795 are 1, 3, 5, 15, 53, 159, 265, and 795. That is 8 factors in total, counting both 1 and 795.

Is 795 a prime number?

No, 795 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 795 is also divisible by 3.

What is the prime factorization of 795?

The prime factorization of 795 is 3 × 5 × 53. Written out in full: 3 × 5 × 53 = 795. Its distinct prime factors are 3, 5, 53.

What two numbers multiply to give 795?

There are 4 pairs of whole numbers that multiply to 795: 1 × 795, 3 × 265, 5 × 159, 15 × 53.

What is the sum of the factors of 795?

Adding all the factors of 795 together gives 1296. Excluding 795 itself, the proper factors sum to 501.

Is 795 a perfect square?

No, 795 is not a perfect square. There is no whole number that multiplies by itself to give 795. The nearest perfect squares are 784 and 841.

What is the largest factor of 795 other than itself?

The largest factor of 795 apart from 795 itself is 265, since 795 ÷ 265 = 3.

How many factors does 795 have?

795 has 8 factors: 1, 3, 5, 15, 53, 159, 265, and 795. You can verify this from the prime factorization 3 × 5 × 53: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 795 down further with the prime factorization calculator, or compare 795 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.