Factors Math Example 4

Follow the full solution, then compare it with the other examples linked below.

easy

List all factor pairs of

36

1
Check divisors up to $\sqrt{36} = 6$ : $1, 2, 3, 4,$ and $6$ all divide 36 evenly.
2
So the factor pairs are $(1, 36)$ , $(2, 18)$ , $(3, 12)$ , $(4, 9)$ , and $(6, 6)$ .

Answer

(1,36),\ (2,18),\ (3,12),\ (4,9),\ (6,6)

Factor pairs come in matching products. Once you reach the square root, the pairs begin repeating in reverse order, so you can stop checking.

About Factors

Whole numbers that divide evenly into a given number with no remainder—the 'building blocks' that multiply together to make it.

List all factors of [formula].

How many factors does [formula] have?

Is [formula] divisible by [formula]? Explain using divisibility rules.