- Prime Numbers Factors and Multiples
- Home
- Even and Odd Numbers
- Divisibility Rules for 2, 5, and 10
- Divisibility Rules for 3 and 9
- Factors
- Prime Numbers
- Prime Factorization
- Greatest Common Factor of 2 Numbers
- Greatest Common Factor of 3 Numbers
- Introduction to Distributive Property
- Understanding the Distributive Property
- Introduction to Factoring With Numbers
- Factoring a Sum or Difference of Whole Numbers
- Least Common Multiple of 2 Numbers
- Least Common Multiple of 3 Numbers
- Word Problem Involving the Least Common Multiple of 2 Numbers

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Introduction to Factoring With Numbers

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

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:**

**Step 3:**

Using distributive property to factor out the common factor 5

45 = (40 + 5) = (5 × 8 + 5 × 1) = 5(8 + 1)

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 = 2(15 + 3)

**Step 3:**

Using distributive property

(ii) Factoring out a common factor of 6

36 = 30 + 6 = 5 × 6 + 1 × 6 = 6(5 + 1)

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