Factor Calculator

Factors of 955

The factors of 955 are 1, 5, 191, and 955. In total, 955 has 4 factors. Its prime factorization is 5 × 191, and the sum of all its factors is 1152.

All factors of 955

Here are all 4 factors of 955, listed from smallest to largest.

15191955

Factor pairs of 955

These 2 pairs of whole numbers each multiply to give 955.

1 × 955 = 955
5 × 191 = 955

Prime factorization of 955

Dividing 955 by the smallest prime at each step gives its prime factorization:

955 ÷ 5 = 191
191 ÷ 191 = 1
Result: 955 = 5 × 191 = 5 × 191

The distinct prime factors of 955 are 5, 191. To factorize any other number, use the prime factorization calculator.

Factor tree of 955

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

Factor tree of 9559555191
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 955

Number of factors4
Sum of factors1152
Sum of proper factors197
Prime factorization5 × 191
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 955 interesting

  • 955 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.
  • 955 is a deficient number: its proper factors sum to 197, which is 758 less than 955 itself.

How to find the factors of 955 yourself

Divide 955 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 √955 ≈ 30.90, because every factor above that pairs with one below it.

955 ÷ 1 = 955 ✓
955 ÷ 5 = 191 ✓

Reading both columns gives every factor: 1, 5, 191, 955. The factor calculator does this automatically for any number.

Numbers mathematically connected to 955.

Frequently asked questions about 955

What are the factors of 955?

The factors of 955 are 1, 5, 191, and 955. That is 4 factors in total, counting both 1 and 955.

Is 955 a prime number?

No, 955 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 955 is also divisible by 5.

What is the prime factorization of 955?

The prime factorization of 955 is 5 × 191. Written out in full: 5 × 191 = 955. Its distinct prime factors are 5, 191.

What two numbers multiply to give 955?

There are 2 pairs of whole numbers that multiply to 955: 1 × 955, 5 × 191.

What is the sum of the factors of 955?

Adding all the factors of 955 together gives 1152. Excluding 955 itself, the proper factors sum to 197.

Is 955 a perfect square?

No, 955 is not a perfect square. There is no whole number that multiplies by itself to give 955. The nearest perfect squares are 900 and 961.

What is the largest factor of 955 other than itself?

The largest factor of 955 apart from 955 itself is 191, since 955 ÷ 191 = 5.

How many factors does 955 have?

955 has 4 factors: 1, 5, 191, and 955. You can verify this from the prime factorization 5 × 191: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 955 down further with the prime factorization calculator, or compare 955 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.