Calculators

Math

Factors

30 represents the average days in a month and is the smallest number divisible by the first three primes (2, 3, 5). It has 8 factors.

All Factors

The factors of 30 are:  1, 2, 3, 5, 6, 10, 15, 30

The prime factorization is: 30 = 2 x 3 x 5

Factoring of 30 Using Trial Division

Find the Factors of 30 :

• Calculate the square root of 30 which is 5.4772, and round it down to the closest whole number, 5, and use it in the next step.
• Test the integer values 1 through 5 for division into 30 where the remainder equals 0.
• We find 8 factors where the remainder of division is 0 and they are: 1, 2, 3, 5, 6, 10, 15, 30.

Factor Pairs

1 × 30 = 30
2 × 15 = 30
3 × 10 = 30
5 × 6 = 30

The factor pairs (multiples) that equal 30 when multiplied together are: (1 and 30), (2 and 15), (3 and 10), (5 and 6), which we found by matching up all factors of 30 which are: 1, 2, 3, 5, 6, 10, 15, 30.

Is 30 Prime or Composite?

30 is a composite number. Since it has more than two factors, we know that 30 is not prime, it is composite. Prime numbers only have two factors. They are evenly divisible by only 1 and itself.