Factors of 10
10 is the base of the decimal system of numbers, and the metric system of measurement. It's thought that since humans typically have 10 fingers and 10 toes, this formed the natural basis for the counting numbers.
All Factors
The factors of 10 are: 1, 2, 5, 10
The prime factorization is: 10 = 2 x 5
Factoring of 10 Using Trial Division
Find the Factors of 10 :
- Calculate the square root of 10 which is 3.1623, and round it down to the closest whole number, 3, and use it in the next step.
- Test the integer values 1 through 3 for division into 10 where the remainder equals 0.
- We find 4 factors where the remainder of division is 0 and they are: 1, 2, 5, 10.
Factor Pairs
1 × 10 = 10
2 × 5 = 10
The factor pairs (multiples) that equal 10 when multiplied together are: (1 and 10), (2 and 5), which we found by matching up all factors of 10 which are: 1, 2, 5, 10.
Is 10 Prime or Composite?
10 is a composite number. Since it has more than two factors, we know that 10 is not prime, it is composite. Prime numbers only have two factors. They are evenly divisible by only 1 and itself.
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Last updated: October 28, 2025