Factor Calculator

Factors of 195

The factors of 195 are 1, 3, 5, 13, 15, 39, 65, and 195. In total, 195 has 8 factors. Its prime factorization is 3 × 5 × 13, and the sum of all its factors is 336.

All factors of 195

Here are all 8 factors of 195, listed from smallest to largest.

13513153965195

Factor pairs of 195

These 4 pairs of whole numbers each multiply to give 195.

1 × 195 = 195
3 × 65 = 195
5 × 39 = 195
13 × 15 = 195

Prime factorization of 195

Dividing 195 by the smallest prime at each step gives its prime factorization:

195 ÷ 3 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1
Result: 195 = 3 × 5 × 13 = 3 × 5 × 13

The distinct prime factors of 195 are 3, 5, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 195

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

Factor tree of 195195365513
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 195

Number of factors8
Sum of factors336
Sum of proper factors141
Prime factorization3 × 5 × 13
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 195 interesting

  • 195 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.
  • 195 is a deficient number: its proper factors sum to 141, which is 54 less than 195 itself.
  • 195 has 3 distinct prime factors (3, 5, 13), which is why it has so many divisors.

How to find the factors of 195 yourself

Divide 195 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 √195 ≈ 13.96, because every factor above that pairs with one below it.

195 ÷ 1 = 195 ✓
195 ÷ 3 = 65 ✓
195 ÷ 5 = 39 ✓
195 ÷ 13 = 15 ✓

Reading both columns gives every factor: 1, 3, 5, 13, 15, 39, 65, 195. The factor calculator does this automatically for any number.

Numbers mathematically connected to 195.

Frequently asked questions about 195

What are the factors of 195?

The factors of 195 are 1, 3, 5, 13, 15, 39, 65, and 195. That is 8 factors in total, counting both 1 and 195.

Is 195 a prime number?

No, 195 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 195 is also divisible by 3.

What is the prime factorization of 195?

The prime factorization of 195 is 3 × 5 × 13. Written out in full: 3 × 5 × 13 = 195. Its distinct prime factors are 3, 5, 13.

What two numbers multiply to give 195?

There are 4 pairs of whole numbers that multiply to 195: 1 × 195, 3 × 65, 5 × 39, 13 × 15.

What is the sum of the factors of 195?

Adding all the factors of 195 together gives 336. Excluding 195 itself, the proper factors sum to 141.

Is 195 a perfect square?

No, 195 is not a perfect square. There is no whole number that multiplies by itself to give 195. The nearest perfect squares are 169 and 196.

What is the largest factor of 195 other than itself?

The largest factor of 195 apart from 195 itself is 65, since 195 ÷ 65 = 3.

How many factors does 195 have?

195 has 8 factors: 1, 3, 5, 13, 15, 39, 65, and 195. You can verify this from the prime factorization 3 × 5 × 13: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 195 down further with the prime factorization calculator, or compare 195 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.