Factor Calculator

Factors of 950

The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, and 950. In total, 950 has 12 factors. Its prime factorization is 2 × 5² × 19, and the sum of all its factors is 1860.

All factors of 950

Here are all 12 factors of 950, listed from smallest to largest.

125101925385095190475950

Factor pairs of 950

These 6 pairs of whole numbers each multiply to give 950.

1 × 950 = 950
2 × 475 = 950
5 × 190 = 950
10 × 95 = 950
19 × 50 = 950
25 × 38 = 950

Prime factorization of 950

Dividing 950 by the smallest prime at each step gives its prime factorization:

950 ÷ 2 = 475
475 ÷ 5 = 95
95 ÷ 5 = 19
19 ÷ 19 = 1
Result: 950 = 2 × 5 × 5 × 19 = 2 × 5² × 19

The distinct prime factors of 950 are 2, 5, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 950

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

Factor tree of 9509502475595519
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 950

Number of factors12
Sum of factors1860
Sum of proper factors910
Prime factorization2 × 5² × 19
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 950 interesting

  • 950 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 950 is a deficient number: its proper factors sum to 910, which is 40 less than 950 itself.
  • 950 has 3 distinct prime factors (2, 5, 19), which is why it has so many divisors.

How to find the factors of 950 yourself

Divide 950 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 √950 ≈ 30.82, because every factor above that pairs with one below it.

950 ÷ 1 = 950 ✓
950 ÷ 2 = 475 ✓
950 ÷ 5 = 190 ✓
950 ÷ 10 = 95 ✓
950 ÷ 19 = 50 ✓
950 ÷ 25 = 38 ✓

Reading both columns gives every factor: 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950. The factor calculator does this automatically for any number.

Numbers mathematically connected to 950.

Frequently asked questions about 950

What are the factors of 950?

The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, and 950. That is 12 factors in total, counting both 1 and 950.

Is 950 a prime number?

No, 950 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 950 is also divisible by 2.

What is the prime factorization of 950?

The prime factorization of 950 is 2 × 5² × 19. Written out in full: 2 × 5 × 5 × 19 = 950. Its distinct prime factors are 2, 5, 19.

What two numbers multiply to give 950?

There are 6 pairs of whole numbers that multiply to 950: 1 × 950, 2 × 475, 5 × 190, 10 × 95, 19 × 50, 25 × 38.

What is the sum of the factors of 950?

Adding all the factors of 950 together gives 1860. Excluding 950 itself, the proper factors sum to 910.

Is 950 a perfect square?

No, 950 is not a perfect square. There is no whole number that multiplies by itself to give 950. The nearest perfect squares are 900 and 961.

What is the largest factor of 950 other than itself?

The largest factor of 950 apart from 950 itself is 475, since 950 ÷ 475 = 2.

How many factors does 950 have?

950 has 12 factors: 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, and 950. You can verify this from the prime factorization 2 × 5² × 19: add 1 to each exponent and multiply, giving 2 × 3 × 2 = 12.

Explore more

Try another number in the factor calculator, break 950 down further with the prime factorization calculator, or compare 950 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.