Which of the following numbers is a factor of 36?

To determine which number is a factor of 36, it's important to understand what a factor is. A factor of a number is an integer that can be multiplied by another integer to result in that number. In other words, when you divide the number by one of its factors, there should be no remainder; the division must be exact.

Let's examine the number 36. The factors of 36 can be determined by finding pairs of integers that multiply to 36. These pairs include:

• 1 and 36

• 2 and 18

• 3 and 12

• 4 and 9

• 6 and 6

From this list, we can see that 12 is indeed one of the factors of 36 since (36 \div 12 = 3), which is a whole number with no remainder.

When considering the other numbers in the options, they do not divide 36 evenly:

• 5 does not divide 36 evenly, as (36 \div 5 = 7.2), leaving a remainder.

• 15 does not divide 36 evenly, as (36 \div 15 = 2.4), also leaving a remainder.

• 18