Common Factors and Distribution Problems

Mrs. Nelson introduces a lesson on common factors, focusing on solving a problem involving distributing pencils and stickers into gift bags. She explains how to find factors of 24 and 36, and identifies common factors to determine possible distributions of items in the bags. The lesson concludes with a discussion on the practical application of common factors in real-world scenarios.

What is the main objective of the lesson on common factors?

• To learn how to multiply numbers

• To find common factors to solve real problems

• To divide numbers into equal parts

• To add and subtract numbers

In the gift bag problem, how many pencils and stickers does the teacher have?

• 12 pencils and 18 stickers

• 24 pencils and 36 stickers

• 36 pencils and 24 stickers

• 18 pencils and 12 stickers

What is the first step in finding common factors of two numbers?

• Add the numbers together

• Divide the numbers by 2

• List the numbers that multiply to make each number

• Subtract the smaller number from the larger

Which of the following is a common factor of both 24 and 36?

• 5

• 7

• 6

• 9

Which of the following is NOT a factor of 24?

• 6

• 4

• 5

• 3

If the teacher makes 3 bags, how many pencils and stickers will each bag contain?

• 8 pencils and 12 stickers

• 24 pencils and 36 stickers

• 6 pencils and 9 stickers

• 12 pencils and 18 stickers

How many bags can be made if each bag contains 6 pencils and 9 stickers?

• 2 bags

• 5 bags

• 3 bags

• 4 bags

What is the greatest common factor of 24 and 36?

• 12

• 4

• 6

• 8

Why might the teacher not want to make just one bag with all the items?

• It would take too long to make

• She doesn't have enough items

• She wants to distribute as many as possible

• It would be too heavy

What is the benefit of using common factors in real-world problems?

• It makes multiplication easier

• It allows for equal distribution of items

• It simplifies subtraction

• It helps in adding numbers quickly