Domain: The Number System Standard: 6NS4: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Directions: 1. Read the problem below. *Use the hints to help if needed to solve the riddle. I'm thinking of two numbers. Their greatest common factor is 6. Their least common multiple is 36. One of the numbers is 12. What is the other number? Hints: 1) What are the factors of 12? 2) Can the other number be 3? Why or why not? The number cannot be 3 because the greatest common factor of both of the numbers is 6. (3 cannot have a factor). 3) Can the other number be 6? Why or why not?

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.4: Solve Applications Modeled By Quadratic Equations
Problem 161E: Make up a problem involving the product of two consecutive odd integers. Start by choosing two...
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Domain: The Number System
Standard:
6NS4: Find the greatest common factor of two whole numbers less than or equal to 100 and the least
common multiple of two whole numbers less than or equal to 12.
Directions:
1. Read the problem below.
*Use the hints to help if needed to solve the riddle.
I'm thinking of two numbers. Their greatest common factor is 6. Their least common multiple is 36.
One of the numbers is 12. What is the other number?
Hints:
1) What are the factors of 12?
2) Can the other number be 3? Why or why not? The number cannot be 3 because the greatest
common factor of both of the numbers is 6. (3 cannot have a factor).
3) Can the other number be 6? Why or why not?
Show your work!
2. Create two riddles like this one to challenge your friends or parents/guardians. One of the two
should include a negative integer or fraction. Create 2-3 hints for each to help in case your problem-
solvers need some assistance.
Page 4
Transcribed Image Text:Domain: The Number System Standard: 6NS4: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Directions: 1. Read the problem below. *Use the hints to help if needed to solve the riddle. I'm thinking of two numbers. Their greatest common factor is 6. Their least common multiple is 36. One of the numbers is 12. What is the other number? Hints: 1) What are the factors of 12? 2) Can the other number be 3? Why or why not? The number cannot be 3 because the greatest common factor of both of the numbers is 6. (3 cannot have a factor). 3) Can the other number be 6? Why or why not? Show your work! 2. Create two riddles like this one to challenge your friends or parents/guardians. One of the two should include a negative integer or fraction. Create 2-3 hints for each to help in case your problem- solvers need some assistance. Page 4
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