Mrs. Walker 4th grade math Factors are numbers that are multiplied 8 X 8 = 64 What does “Find the factors” mean? …find all the numbers you can multiply together to get that number as the product. EVERY number greater than 1 has the number 1 and itself as a factor. Remember, you are being asked to find all the numbers that can be multiplied together to get the answer 27. 27: 1 X 27 3X9 27: 1, 3, 9, 27 HINT: Always write factors from least to greatest. Find the factors: 1. 18 2. 24 3. 21 4. 52 What does COMMON mean? What does FACTORS mean? So….. COMMON FACTORS are: Factors that two or more numbers have in common 16 1 X 16 2X8 4X4 Hint: Once you repeat a number you’re done!! 16: 1, 2, 4, 8, 16 24 1 X 24 2 X 12 3X8 4X6 24: 1, 2, 3, 4, 6, 8, 12, 24 Common Factors: 1, 2, 4, 8 What are the common factors of: 1. 6 & 9 2. 24 & 48 3. 25 & 45 The greatest factor that both numbers have in common. GCF = Greatest Common Factor 9 1x9 3x3 12 1 x 12 2x6 3x4 9 : 1,3,9 12: 1,2,3,4,6,12 Find the GCF: 1. 2. 12 & 26 9 & 21 List the factors: 1. 36 2. 18 3. 27 List the common factors: 1. 18, 22 2. 52, 36 3. 14, 9 List the GCF: 1. 25, 40 2. 30, 42 Math Book Pg. 112 #s 11-18 And Pg. 113 #s 36-43 Multiples form a skip counting pattern! 5: 5, 10, 15, 20, 25, 30… Example: 15 is a multiple of 5 because it is made up of 3 groups of 5. Use the inverse operation of multiplication, Division To find multiples! 7: 7, 14, 21, 28, 35, 42 Strategy: Use a division number sentence. 108 ÷ 6= (if the quotient is a whole number then 6 is a multiple.) Solution: Yes, 108 is a multiple of 6 because 108 ÷ 6= 18 Find 10 multiples of: 1. 3 2. 8 3. 11 A multiple that 2 or more numbers have in common. What strategy would you use? That’s Right! Division 36 ÷ 6= ? 36 ÷ 9=? Yes, 36 is a common multiple of 6 and 9. 1. Is 42 a common multiple of 6 and 9? List 10 multiples of each number and circle the common multiples. 2. 3,6 3. 4, 12 4. 2, 5 The lowest multiple that both numbers have in common. LCM EX. What is the LCM of 12 and 24? Strategy: List the multiples of 12 and 24. 12:12,24 24: 24 List the first 5 multiples of each number. 1. 2 2. 4 3. Name the LCM of the following numbers: 20 and 5 4. How many common multiples less than 50 do 8 and 9 have? Name them MB pg. 112 #s 19-26 And MB pg. 113 #s 44-52