Exploring Greatest Common Factor and Least Common Multiple

What is a factor?

• A number that is multiplied by an integer

• A number that divides another number without leaving a remainder

• A number that is added to another number

• A number that is subtracted from another number

Which of the following is a multiple of 6?

• 10

• 4

• 8

• 12

What is the greatest common factor (GCF) of 12 and 36?

• 12

• 6

• 18

• 24

Which method involves breaking a number into its prime factors?

• Upside-down cake

• Division ladder

• Prime factorization

• Listing out all factors

In the division ladder method, what is the first step?

• Write out both numbers

• Divide by the smallest common factor

• Find the prime factors

• List all multiples

What is the least common multiple (LCM) of 12 and 36?

• 36

• 24

• 12

• 48

Which strategy is NOT used to find the LCM?

• Subtraction method

• Listing out multiples

• Prime factorization

• Division ladder

In the division ladder method for LCM, what do you do after finding the common factors?

• Subtract the common factors

• Divide the common factors

• Multiply the common factors

• Add the common factors

What is the result of multiplying 2, 3, 2, 1, and 3 in the division ladder method for LCM?

• 42

• 24

• 36

• 30

Which method is described as an 'upside-down cake'?

• Subtraction method

• Division ladder

• Prime factorization

• Listing out factors