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Prime Time Unit Test Review
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1. What strategies can be used to find:
a. all the factors of a number?
b. the least common multiple of two numbers?
c. the greatest common factor of two numbers?
2. How you can you decide whether a number is a(n)
a. prime number?
b. square number?
c. even number?
d. odd number?
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3. Find 2 different ways to show factorizations of the number 28. Do not use 1 as a factor.
a.
b.
4. Find the prime factorization of the following numbers. (Use factor trees)
a. 100
b. 108
5. What number has the prime factorization 2 x 32 x 52? Show how you found the number.
6. Find the dimensions of all the rectangles that can be made from 18 square tiles.
Show your work.
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7. The Red Top Taxi company wants to keep its cars in good operating condition. It has a
schedule for regular maintenance checks on each car.
→Oil is to be changed once every 6 weeks.
→Brakes are to be inspected and repaired every 10 weeks.
 After a new cab is put in service, is there ever a week when that cab is scheduled for both
an oil change and a brake inspection? If so, what is the first such time?
8. Mrs. MaryAnn is giving treat sacks out for Valentine's day. Each sack has to have the same
items in it. She has 30 pencils and 42 smiley stickers.
 What is the greatest number of treat sacks she can make?
 How many of each kind of treat is in one sack? pencils
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9. a. What is the greatest common factor of 24 and 36?
b. What is a common factor of 24 and 36?
10. a. What is the least common multiple of 24 and 36?
b. What is a common multiple of 24 and 36?
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