Factoring With Numbers

This lesson is designed to explore decomposition, multiplication, and factoring of whole numbers and the distributive property.Problem 1:

Factor out a common factor of 5 from 45.

Solution

Step 1:

The expanded form of 45 is written as follows

45 = 40 + 5

Step 2:The common factor of 5 and 40 is 5 itself.

Step 3:

Using distributive property to factor out the common factor 5

45 = 40+5 = 5×8+5×1 = 58+1Problem 2:

Given a number 36

i Factor out a common factor of 2

ii Factor out a common factor of 6

Solution

Step 1:

The expanded form of given number is written as follows

36 = 30 + 6

Step 2:

Using distributive property

i Factoring out a common factor of 2

36 = 30 + 6 = 2 × 15 + 2 × 3 = 215+3

Step 3:

Using distributive property

ii Factoring out a common factor of 6

36 = 30 + 6 = 5 × 6 + 1 × 6 = 65+1