List Factors - Arithmetic Step by Step

Find all factors of 36 by testing every whole number from 1 to 36. When a number divides 36 evenly, both that number and its partner are factors. Recording factor pairs keeps the list organized and complete.

Example

factors-of-36.math

factors of 36

step: 1 x 36 = 36: factor pair
step: 2 x 18 = 36: factor pair
step: 3 x 12 = 36: factor pair
step: 4 x 9 = 36: factor pair
step: 6 x 6 = 36: factor pair
step: factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

factor-pairs Every factor of a number comes with a partner. For example, because 3 × 12 = 36, both 3 and 12 are factors of 36. Testing pairs (1 and 36, 2 and 18, …) means you only need to check up to the square root.