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?
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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:### Project
#### 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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