Prime Numbers Factors and Multiples
Selected Reading
- Word Problem Involving the Least Common Multiple of 2 Numbers
- Least Common Multiple of 3 Numbers
- Least Common Multiple of 2 Numbers
- Factoring a Sum or Difference of Whole Numbers
- Introduction to Factoring With Numbers
- Understanding the Distributive Property
- Introduction to Distributive Property
- Greatest Common Factor of 3 Numbers
- Greatest Common Factor of 2 Numbers
- Prime Factorization
- Prime Numbers
- Factors
- Divisibility Rules for 3 and 9
- Divisibility Rules for 2, 5, and 10
- Even and Odd Numbers
- Home
Selected Reading
- Who is Who
- Computer Glossary
- HR Interview Questions
- Effective Resume Writing
- Questions and Answers
- UPSC IAS Exams Notes
Introduction to Factoring With Numbers
Introduction to Factoring With Numbers
This lesson is designed to explore decomposition, multippcation, 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:
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) = 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)