Author: Saim Khalid

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.…

Introduction When multiplying a number by a sum or difference, we use the distributive property. The distributive property states that for any three numbers ‘a’, ‘b’ and ‘c’ For example, in the math statement 7 4+9, we are multiplying 7 with a sum of 4 and 9. Here we can use the distributive property as follows. 7 4+9 = 74 + 79 = 28 + 63 =…

Definition The distributive property states that when we multiply a factor and a sum or difference, we multiply the factor by each term of the sum or difference. Formula The distributive property of multiplication for any three real numbers ‘a’, ‘b’ and ‘c’ is Example Rewrite 8 × 7 + 4 using distributive property in order to simplify Solution Step 1:…

Introduction Given three numbers, the method of finding greatest common factor is same as the method of finding gcf of two numbers. Problem 1: Find the greatest common factor of 18, 24 and 36 Solution Step 1: The factors of 18 and 24 and 36 are 18 = 1, 2, 3, 6, 9, 18 24 = 1,…

Introduction To find the greatest common factor gcf of two given numbers, Problem 1: Find the greatest common factor of 16 and 24. Solution Step 1: The factors of 16 and 24 are 16 = 1, 2, 4, 8, 16 24 = 1, 2, 3, 4, 6, 8, 12, 24 Step 2: The common factors of 16 and 24 are shown in…

Definitions Factors are the numbers we multiply to get another number. For example, factors of 14 are 2 and 7, because 2 7 = 14. Some numbers can be factored in more than one way. For example, 16 can be factored as 1 16, 2 8, or 4 4. A number that can only be factored as 1…

Definitions Prime numbers A number is a prime number if its only factors are 1 and itself. 7 is a prime number. Its factors are 1 and 7 itself Some examples of prime numbers are 2, 3, 5, 7, 11, 13 and so on. 2 is the only even prime number. All other prime numbers are odd numbers Composite…

Divisibility Rule for 3 If the sum of the digits of a number is divisible by 3, then the number is divisible by 3. Some examples of numbers divisible by 3 are as follows. Divisibility Rule for 9 If the sum of the digits of a number is divisible by 9, then the number is divisible by…

Definition Divisibility − A number m is said to be divisible by another number n if n divides m completely without leaving a remainder. Divisibility Rule for 2 Some examples of numbers divisible by 2 are as follows. 24, 18, 68, 108, 184, 1020. Divisibility Rule for 5 Some examples of numbers divisible by 5 are 15, 35, 75, 125, 505, 1000. Divisibility Rule for 10 Some examples of…

Even numbers Even numbers are those numbers that are divisible by 2 All those numbers that have a 0, 2, 4, 6 or 8 in their ones place are even numbers. For example, 4, 16, 38, 464, 1070are even numbers as they are divisible by 2 Odd numbers Odd numbers are those numbers that are NOT divisible by…