What Are the Common Factors of 30?

The factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30. These factors combine together to result in the number 30 if a person multiplies 1 by 30, 2 by 15, 3 by 10 or 5 by 6. In mathematics, factors are the numbers that are multiplied together to get another number.

The number 30 has eight factors, three of which are prime numbers. A prime number is a whole number that is only divisible by 1 and itself. The prime factors of 30 are 2, 3 and 5. Typically, 1 is not considered a prime number because every number is divisible by 1. An easy way to identify the factors of a given number is through the use of a factor tree. A factor tree is a branched diagram that helps a person identify the factors of a number through a tiered or step-by-step process.

Be careful not to confuse factors with multiples, which are the numbers that one gets after multiplying the original number by another integer. Some of the multiples of 30 are 60, 90, 120 and 150, which are obtained by multiplying 30 by 2, 3, 4 and 5, respectively. Both factors and multiples are commonly used in arithmetic, including multiplication, division and fractions.