Exploring Greatest Common Factor and Least Common Multiple

The video tutorial covers the concepts of greatest common factor (GCF) and least common multiple (LCM), emphasizing the importance of understanding factors and multiples. It explains prime and composite numbers, demonstrating how to identify them. The tutorial introduces prime factorization using factor trees and shows how to find the GCF and LCM of numbers. It also covers the distributive property and its application in simplifying expressions. Finally, the video discusses how to apply these mathematical concepts to solve word problems effectively.

What is a factor?

• A number that is less than one

• A number that is greater than one

• A number that is multiplied by another number

• A number that divides another number without a remainder

Which of the following is a prime number?

• 4

• 9

• 6

• 7

What are the factors of 10?

• 1, 2, 5, 10

• 1, 3, 5, 10

• 2, 5, 10

• 1, 2, 3, 10

What is the prime factorization of 36?

• 2 x 2 x 2 x 2

• 2 x 3 x 3

• 2 x 2 x 3 x 3

• 2 x 2 x 2 x 3

Which of the following is a composite number?

• 10

• 2

• 3

• 5

What is the greatest common factor (GCF) of 36 and 54?

• 18

• 12

• 9

• 6

What is a multiple?

• A number that is multiplied by another number

• A number that divides another number without a remainder

• A number that is less than one

• A number that is greater than one

What is the least common multiple (LCM) of 4 and 5?

• 10

• 15

• 20

• 25

What is the distributive property?

• Subtracting a number from the sum or difference gives the same result as subtracting from each term separately

• Dividing a number by the sum or difference gives the same quotient as dividing by each term separately

• Adding a number to the sum or difference gives the same result as adding to each term separately

• Multiplying a number by the sum or difference gives the same product as multiplying by each term separately

When do you use the greatest common factor in word problems?

• When you want to find the smallest number of identical groups

• When you want the greatest amount of times an event will occur again

• When you want to find the greatest number of identical groups

• When you want the least amount of times an event will occur again