Category: Prime Numbers Factors and Multiples

Using Prime Factors to Find the Least Common Multiple of Two Numbers Example Find least common multiple lcm of 21 and 48 Solution Step 1: The prime factors of 21 and 48 are 21 = 3 7 48 = 2 2 2 2 3 Step 2: Maximum occurrences of the prime factors are 24times; 31time; 71time Step…

Introduction Finding the least common multiple lcm of three numbers is similar to finding the lcm of 2 numbers. To find the least common multiple lcm of three numbers Problem 1: Find the least common multiple of 6, 10, 15 Solution Step 1: The multiples of 6, 10 and 15 are as follows Multiples of 6 = 6, 12, 18, 24, 30,…

Definitions The multiple of a number is that number multiplied by an integer. The multiples of a number are found by multiplying it with 1, 2, 3, 4….and so on. For example, the multiples of 4 are 4 × 1, 4 × 2, 4 × 3, 4 × 4,…or 4, 8, 12, 16 …and so on. The multiples…

Introduction We can have sums or differences of whole numbers; for example 26+65 or 48−16. For factoring such sums or differences of whole numbers: Example: Factor out the gcf from the sum 28+63 Solution The prime factorization of 28 is 28 = 4 × 7 The prime factorization of 63 is 63 = 9 × 7 So the greatest…

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…