Factor Calculator

Factors of 95

The factors of 95 are 1, 5, 19, and 95. In total, 95 has 4 factors. Its prime factorization is 5 × 19, and the sum of all its factors is 120.

All factors of 95

Here are all 4 factors of 95, listed from smallest to largest.

151995

Factor pairs of 95

These 2 pairs of whole numbers each multiply to give 95.

1 × 95 = 95
5 × 19 = 95

Prime factorization of 95

Dividing 95 by the smallest prime at each step gives its prime factorization:

95 ÷ 5 = 19
19 ÷ 19 = 1
Result: 95 = 5 × 19 = 5 × 19

The distinct prime factors of 95 are 5, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 95

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

Factor tree of 9595519
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 95

Number of factors4
Sum of factors120
Sum of proper factors25
Prime factorization5 × 19
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 95 interesting

  • 95 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.
  • 95 is a deficient number: its proper factors sum to 25, which is 70 less than 95 itself.

How to find the factors of 95 yourself

Divide 95 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 √959.75, because every factor above that pairs with one below it.

95 ÷ 1 = 95
95 ÷ 5 = 19

Reading both columns gives every factor: 1, 5, 19, 95. The factor calculator does this automatically for any number.

Frequently asked questions about 95

What are the factors of 95?

The factors of 95 are 1, 5, 19, and 95. That is 4 factors in total, counting both 1 and 95.

Is 95 a prime number?

No, 95 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 95 is also divisible by 5.

What is the prime factorization of 95?

The prime factorization of 95 is 5 × 19. Written out in full: 5 × 19 = 95. Its distinct prime factors are 5, 19.

What two numbers multiply to give 95?

There are 2 pairs of whole numbers that multiply to 95: 1 × 95, 5 × 19.

What is the sum of the factors of 95?

Adding all the factors of 95 together gives 120. Excluding 95 itself, the proper factors sum to 25.

Is 95 a perfect square?

No, 95 is not a perfect square. There is no whole number that multiplies by itself to give 95. The nearest perfect squares are 81 and 100.

What is the largest factor of 95 other than itself?

The largest factor of 95 apart from 95 itself is 19, since 95 ÷ 19 = 5.

How many factors does 95 have?

95 has 4 factors: 1, 5, 19, and 95. You can verify this from the prime factorization 5 × 19: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 95 down further with the prime factorization calculator, or compare 95 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.