Factor Calculator

Factors of 995

The factors of 995 are 1, 5, 199, and 995. In total, 995 has 4 factors. Its prime factorization is 5 × 199, and the sum of all its factors is 1200.

All factors of 995

Here are all 4 factors of 995, listed from smallest to largest.

15199995

Factor pairs of 995

These 2 pairs of whole numbers each multiply to give 995.

1 × 995 = 995
5 × 199 = 995

Prime factorization of 995

Dividing 995 by the smallest prime at each step gives its prime factorization:

995 ÷ 5 = 199
199 ÷ 199 = 1
Result: 995 = 5 × 199 = 5 × 199

The distinct prime factors of 995 are 5, 199. To factorize any other number, use the prime factorization calculator.

Factor tree of 995

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

Factor tree of 9959955199
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 995

Number of factors4
Sum of factors1200
Sum of proper factors205
Prime factorization5 × 199
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 995 interesting

  • 995 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.
  • 995 is a deficient number: its proper factors sum to 205, which is 790 less than 995 itself.

How to find the factors of 995 yourself

Divide 995 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 √99531.54, because every factor above that pairs with one below it.

995 ÷ 1 = 995
995 ÷ 5 = 199

Reading both columns gives every factor: 1, 5, 199, 995. The factor calculator does this automatically for any number.

Frequently asked questions about 995

What are the factors of 995?

The factors of 995 are 1, 5, 199, and 995. That is 4 factors in total, counting both 1 and 995.

Is 995 a prime number?

No, 995 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 995 is also divisible by 5.

What is the prime factorization of 995?

The prime factorization of 995 is 5 × 199. Written out in full: 5 × 199 = 995. Its distinct prime factors are 5, 199.

What two numbers multiply to give 995?

There are 2 pairs of whole numbers that multiply to 995: 1 × 995, 5 × 199.

What is the sum of the factors of 995?

Adding all the factors of 995 together gives 1200. Excluding 995 itself, the proper factors sum to 205.

Is 995 a perfect square?

No, 995 is not a perfect square. There is no whole number that multiplies by itself to give 995. The nearest perfect squares are 961 and 1024.

What is the largest factor of 995 other than itself?

The largest factor of 995 apart from 995 itself is 199, since 995 ÷ 199 = 5.

How many factors does 995 have?

995 has 4 factors: 1, 5, 199, and 995. You can verify this from the prime factorization 5 × 199: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 995 down further with the prime factorization calculator, or compare 995 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.