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Name:
Date:
Factors and Multiples Review
1.
Number
Number Models with 2 factors
All possible factors
20
17
2. List all the factors of 36.
__________________________________________.
3. Is 37 a prime or a composite number? _______________________
How do you know?
________________________________________________
____________________________________________________________
__
4. Is 40 a prime or a composite number?
______________________________
How do you know?
_______________________________________________
____________________________________________________________
_
5. Circle all the prime factors.
1
2
3
5
6
19
30
6. You are helping to set-up a party using 12 chairs. How many different
ways can you arrange 12 chairs in a rectangular pattern?
Show two of the most effective ways below.
7. Jan has 15 tulip bulbs. She wants to plant them in a rectangular array
consisting of at least 3 rows with at least 2 tulips in each row. Draw three
possible arrangements for the bulbs.
8. How many different ways could you share a pizza with 18 slices by
varying the number of people and slices per person. (for example, 18
people each get 1 slice)
9. Choose all the words that describe the numbers in the table below.
Prime
Composite
Odd
Even
Square
5
36
10. Use the following clues to figure out on what date Iris had her birthday.
 The date is an odd number
 The date is a square number
 The date is a multiple of 3.
11. Write the following:
a. An even number between 210 and 225. ____________________
b. A prime number between 45 and 50. _____________________
c. A composite number that is less than 30. __________________
d. An odd number between 20 and 30. ____________________
Divisibility Rules
* All even number are divisible by 2.
* A number is divisible by 3 if the sum of the digits is divisible by
3.
* A number is divisible by 6 if it is divisible by both 2 and 3.
* A number is divisible by 9 is the sum of its digits is divisible by
9.
* A number is divisible by 5 if it ends with a 0 or 5.
* A number is divisible by 10 if it ends in a 0.
12. Write a number between 300 and 350 that is divisible by 3, but not by
2. ___
13. Write a number between 200 and 300 that is divisible by 6 but not 5.
_____
14. Write an 7 digit number that has
4 in the tens place,
6 in the hundredths place,
9 in the ten thousands place,
and 0 in all other places.
______ ______ , _______ _______ ______. _______ _______
a. Write this in numeral words.____________________________________
___________________________________________________________
15. List three square numbers less than 10.
________
_________
________
16. Tell if 522 is divisible by the following numbers:
YES
NO
2
3
5
6
9
10
17. Find the prime factorization of 40.
_______________________________
18. What is the prime factorization of 40 using exponents?
______________
19. Find the greatest common factor of 56 and 32. _________________
20. Find the least common multiple of 10 and 5. ___________________
21. Use a powers of strategy to solve these problems.
a.
4.6 * 1,000 =
b.
0.54
* 0.01 =
c.
34.8
* 10 =
22- 25. Solve and show your work.
49.0 + 5.66 =
248 + 241 =
850 – 467 =
89.1 – 3.56 =