1. See if you know enough about numbers and their properties. CLICK HERE TO START

2. How confident are you in your skills? Click on your answer. NOT SURE CONFIDENT

3. Prime or Composite Is 12 a prime number or a composite number? A. Prime number B. Composite number Click on your answer. Need some help? Click the ipod for a musical hint.

4. CORRECT! 12 is a composite number because it has more than 2 factors. 12 has 6 factors. 12 1, 12 2, 6 3, 4 Next Question

5. INCORRECT 12 is not a prime number. A prime number is a number that only has 2 factors, 1 and itself. Remember a factor of 12 would be any number that 12 is divisible by. For example, 12 is divisible by 2 because 12 divided by 2 is 6. So 6 and 2 are factors of 12. For more info & practice, click here.click here Next QuestionBack to the question

6. True or False? 56 is a multiple of 4? TRUE FALSE

7. YOU ARE CORRECT! Very good, 56 is a multiple of 4 because 4 x 14 = 56. *Remember finding multiples is just like counting by that number… 4, 8, 12, 16, 20, and so on or multiplying up. Next

8. YOU ARE INCORRECT 56 is a multiple of 4 because you can multiply 4 by 16 and get 56. To find a multiple you just multiply up… 4 x1= 4 (4 is a multiple) 4 x 2= 8 (8 is a multiple) and so on. Another way to think about it is by counting by that number… 4, 8, 12, 16, 20, and so on. For more info/practice, click here.click here NextBack to Q

9. Feeling better? Ok, we tried some easier problems first, now let’s move on to some tougher ones. CLICK TO CONTINUE

10. GCF What is the greatest common factor of 14 and 42? (Click on your answer) A. 1 B. 2 C. 7 D. 14

11. YOU’RE CORRECT! Very good! The greatest common factor (or GCF) of 14 and 42 is 14. Even though 1, 2, and 7 are factors of each number 14 is the greatest one that they have in common. 14 1, 14 2, 7 42 1, 42 2, 21 3, 14 6, 7 Next Q.

12. YOU’RE INCORRECT Remember the greatest common factor is the largest number that goes into both numbers you are comparing. As you can see in the diagrams below: 14 is divisible by 1, 2, 7, and 14 42 is divisible by 1, 2, 3, 6, 7, 14, 21, and 42 Both numbers share the common factors 1, 2, 7, and 14. So 14 is the greatest factor that they have in common. 14 1, 14 2, 7 42 1, 42 2, 21 3, 14 6, 7 Next Q.Back to the Q.

13. LCM Find the least common multiple for 3 and 6. (Click on your answer) A. 1 B. 6 C. 12 D. 18

14. THAT’S CORRECT! The least common multiple (LCM) of 3 and 6 is 6. Remember, in this case the least common multiple is the smallest number that both 3 and 6 go into evenly or the first number that they have in common when counting by 3 and counting by 6. 12 and 18 ARE common multiples of 3 and 6 but they are not the smallest one they have in common. Next Question

15. THAT’S INCORRECT 1 is not the least common multiple (LCM) of 3 and 6 because you can not multiply 3 or 6 by any number to get the answer of 1. 1 is however a common factor of 3 and 6. Remember to get a multiple you multiply up from that number. (ex 3x1= 3, 3x2=6, and so on). Once you have a list for each of the numbers you are comparing, find the smallest number that the two lists have in common and that’s your LCM. For more help, click here.click here Next QuestionBack to the question

16. THAT IS INCORRECT 12 and 18 are common multiples of 3 and 6 but not the least common multiple (LCM). Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, and so on Multiples of 6: 6, 12, 18, 24, 30, and so on Above are lists of multiples for 3 and 6 in chronological order. As you can see 12 and 18 are in both lists, which like I said, make them common multiples. But if you notice, 6 is also in both lists, and 6 is smaller than 12 and 18, making 6 the least common multiple. For more help & practice, click here.click here Next QuestionBack to the question

17. LAST QUESTION Which factor tree shows a correct prime factorization for 24? A. 24 212 3 4 B. 24 46 C. 24 38 2 4 D. 24 4 6 2 2 2 3

18. CLOSE BUT NO Answers A and C are the same: FinishedBack 24= 2x3x4 which is true but what makes the answer a prime factorization is when all of the end numbers are prime, meaning that they can’t be broken down any further. 4 can be broken down in both of these to 2x2. For more practice, click here.click here

19. NOT CORRECT 24= 4x6 which is true but what makes the answer a prime factorization is when all of the end numbers are prime, meaning that they can’t be broken down any further. 4 can be broken down to 2x2 and 6 can be broken down to 2x3. So this tree only represents the first step or prime factorization. For more info, click here.click here FinishedBack

20. Prime factorization help is just a click away. Click to view original site BackFinished

21. WOO HOO! GREAT! You knew that a prime factorization is when a number is broken down into its smallest factors. To check if your prime factorization is correct you can multiply the end numbers together and see if you get the original number…2 x 2 x 2 x 3 = 24. D. 24 4 6 2 2 2 3 Finished

22. Review Completed! Close IF YOU STILL HAVE ANY QUESTIONS ABOUT THIS TOPIC: PLEASE EMAIL ME YOUR QUESTIONS BY CLICKING HERE.HERE