Factor Calculator

Factors of 595

The factors of 595 are 1, 5, 7, 17, 35, 85, 119, and 595. In total, 595 has 8 factors. Its prime factorization is 5 × 7 × 17, and the sum of all its factors is 864.

All factors of 595

Here are all 8 factors of 595, listed from smallest to largest.

157173585119595

Factor pairs of 595

These 4 pairs of whole numbers each multiply to give 595.

1 × 595 = 595
5 × 119 = 595
7 × 85 = 595
17 × 35 = 595

Prime factorization of 595

Dividing 595 by the smallest prime at each step gives its prime factorization:

595 ÷ 5 = 119
119 ÷ 7 = 17
17 ÷ 17 = 1
Result: 595 = 5 × 7 × 17 = 5 × 7 × 17

The distinct prime factors of 595 are 5, 7, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 595

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

Factor tree of 5955955119717
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 595

Number of factors8
Sum of factors864
Sum of proper factors269
Prime factorization5 × 7 × 17
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 595 interesting

  • 595 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.
  • 595 is a deficient number: its proper factors sum to 269, which is 326 less than 595 itself.
  • 595 is a triangular number — it is the sum of the first 34 whole numbers (1 + 2 + … + 34 = 595).
  • 595 has 3 distinct prime factors (5, 7, 17), which is why it has so many divisors.

How to find the factors of 595 yourself

Divide 595 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 √59524.39, because every factor above that pairs with one below it.

595 ÷ 1 = 595
595 ÷ 5 = 119
595 ÷ 7 = 85
595 ÷ 17 = 35

Reading both columns gives every factor: 1, 5, 7, 17, 35, 85, 119, 595. The factor calculator does this automatically for any number.

Frequently asked questions about 595

What are the factors of 595?

The factors of 595 are 1, 5, 7, 17, 35, 85, 119, and 595. That is 8 factors in total, counting both 1 and 595.

Is 595 a prime number?

No, 595 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 595 is also divisible by 5.

What is the prime factorization of 595?

The prime factorization of 595 is 5 × 7 × 17. Written out in full: 5 × 7 × 17 = 595. Its distinct prime factors are 5, 7, 17.

What two numbers multiply to give 595?

There are 4 pairs of whole numbers that multiply to 595: 1 × 595, 5 × 119, 7 × 85, 17 × 35.

What is the sum of the factors of 595?

Adding all the factors of 595 together gives 864. Excluding 595 itself, the proper factors sum to 269.

Is 595 a perfect square?

No, 595 is not a perfect square. There is no whole number that multiplies by itself to give 595. The nearest perfect squares are 576 and 625.

What is the largest factor of 595 other than itself?

The largest factor of 595 apart from 595 itself is 119, since 595 ÷ 119 = 5.

How many factors does 595 have?

595 has 8 factors: 1, 5, 7, 17, 35, 85, 119, and 595. You can verify this from the prime factorization 5 × 7 × 17: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 595 down further with the prime factorization calculator, or compare 595 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.