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Transcript
Factors
and
Multiples
2. The first thing that you must do
when figuring the least common
multiple is to
a. Multiply the two numbers
together
b. Divide the largest number by the
smallest one
c. Divide the smallest number by
the largest one
d. Find the prime factorization of
each of the two numbers
1. The least common multiple of
two numbers is
a. The product of the two
numbers
b. The smallest whole number
that is a multiple of each of the
two numbers
c. The greatest whole number
that is a factor of each number
d. All of these
3. The next step is to
a. Combine the factors of each
number using each number only
once
b. Add all of the factors
together
c. Take the largest of the
factors
4. If you have to 32 in
one factorization and
33, you should
a. Combine them into 35
b. Use the 32
c. Use the 33
d. Use the number 3
5. What is the least
common multiple of the
numbers 4 and 6?
a. 4
b. 8
c. 12
d. 16
6. What is the least
common multiple of 25
and 30?
a. 50
b. 60
c. 125
d. 150
7. What is the least
common multiple of 72
and 90?
a. 144
b. 180
c. 270
d. 360
8. What is the least
common multiple of 36
and 125
a. 360
b. 1025
c. 2575
d. 4500
9. What is the least
common multiple of 12
and 15
a. 20
b. 35
c. 60
d. 75
10. Michael has to take his
medication every three days. If
he takes it next Sunday, how
many weeks will it be before he
takes his medication on another
Sunday?
a. 3
b. 4
c. 5
d. 6
11. The smallest whole
number that is a factor of
two other numbers is called
the
a. Greatest Common Factor
b. Prime Factorization
c. Least common multiple
12. Which of these things do you
not do to find the least common
multiple?
a. Combine the numbers from
the factorizations
b. Divide the smallest number by
the largest one
c. Find the prime factorization
of each of the two numbers
13. The last step in finding the
least common multiple is to
a. Combine the factors of each
number using each number only
once
b. Add all of the factors
together
c. Take the largest of the
factors
14. If you have to 52 in one
factorization and 53 in the
other, you should
a. Combine them into 55
b. Use the 52
c. Use the 53
d. Use the number 3
15. The least common
multiple of the numbers
8 and 10 is?
a. 15
b. 20
c. 40
d. 80
16. What is the least
common multiple of 15
and 20?
a. 60
b. 50
c. 125
d. 150
17. What is the least
common multiple of 8
and 9?
a. 52
b. 64
c. 72
d. 80
18. What is the least
common multiple of 28
and 24
a. 360
b. 168
c. 2575
d. 4500
19. What is the least
common multiple of 25
and 30
a. 75
b. 100
c. 150
d. 300
20. Michael has to take his
medication every four days. If
he takes it next Sunday, how
many days will it be before he
takes his medication on another
Sunday?
a. 21
b. 23
c. 25
d. 28
21. Which of these is the best
definition for the greatest common
factor of two numbers?
a. The smallest number that will go into
the larger of the two numbers given.
b. The dividend of the larger number
of the two.
c. The largest number that is a factor
of both of them.
d. The digit that is the same in both
numbers.
22. Which of these explains how to
find the greatest common factor of
two numbers?
a. List the factors of both numbers
and find which of them are the same
and select the largest
b. Find the prime factorizations of
both numbers and multiply together
the factors that they both have in
common
c. Both of these
d. Neither of these
23. Finish this diagram to find
the prime factorization of 84.
Which is it?
a. 21 X 2 X 2 X 2
b. 2 X 2 X 2 X 2
c. 6 X 3 X 2 X 2
d. 7 X 3 X 2 X 2
24. After figuring the prime
factorizations of two numbers, the
next step is to
a. Multiply all the factors together
b. Multiply the greatest factors
c. Multiply all of the factors which
they have in common
d. Multiply all of the factors which
they do not have in common
25. The prime factors of 14
are 7 X 2 and the prime
factors of 12 are 2 X 2 X 3.
What is the greatest common
factor?
a. 7
b. 6
c. 2
d. 3
26. The greatest
common factor of 156
and 112 isa. 4
b. 12
c. 18
d. 93
27. The greatest
common factor of 24
and 36 isa. 4
b. 8
c. 12
d. 16
28. The greatest
common factor of 28
and 35 is
a. 3
b. 4
c. 7
d. 13
29. The greatest
common factor of 805
and 644 is
a. 2
b. 7
c. 23
d. 52
30. In the South zone, the little league
has 288 players enrolled. In the North
zone, there are 416 players enrolled.
What is the largest team size that
each team can have with equal size
teams throughout the league, allowing
everyone to be on a team?
a. 11
b. 16
c. 18
d. 12
31. Which of these is the best
definition for the greatest common
factor of two numbers?
a. The largest number that goes into
each only once.
b. The smallest number that will go into
the larger of the two numbers given.
c. The dividend of the larger number of
the two.
d. The largest number that is a factor
of both of them.
32. Which of these explains how to
find the greatest common factor of
two numbers?
a. List the factors of both numbers
and find which of them are the same
and select the largest
b. Find the prime factorizations of
both numbers and multiply together
the factors that they both have in
common
c. Both of these
d. Neither of these
33. Finish this diagram to find
the prime factorization of 84.
Which is it?
34. After figuring the prime
factorizations of two numbers, the
next step is to
a. Divide the largest factor by the
smallest factor if they are in
common
b. Multiply all of the factors which
they do not have in common
c. Multiply the greatest factors
d. Multiply all of the factors which
they have in common
35. The prime factors of 16 are
2 X 2 X 2 X 2 and the prime
factors of 24 are 2 X 2 X 2 X 3.
What is the greatest common
factor?
a. 8
b. 9
c. 6
d. 3
a. 25 X 5
b. 5 X 2 X 7 X 3
c. 5 X 5 X 5 X 3
d. 7 X 3 X 2 X 2
36. The greatest
common factor of 57
and 78 isa. 4
b. 3
c. 13
d. 19
37. The greatest
common factor of 24
and 36 isa. 4
b. 8
c. 12
d. 16
38. The greatest
common factor of 28
and 54 is
a. 2
b. 3
c. 9
d. 13
39. The greatest
common factor of 80
and 99 is
a. 11
b. 3
c. 5
d. None of these
36. The greatest
common factor of 57
and 78 isa. 4
b. 3
c. 13
d. 19
37. The greatest
common factor of 24
and 36 isa. 4
b. 8
c. 12
d. 16
38. The greatest
common factor of 28
and 54 is
a. 2
b. 3
c. 9
d. 13
39. The greatest
common factor of 80
and 99 is
a. 11
b. 3
c. 5
d. None of these
40. The Jones family and the Hawkins
family both bought the exact same
Halloween candy packages at the same
store. If the Hawkins family has 140
candies and the Jones family has 252
candies, what is the largest amount of
candy that could have been in each
package?
a. 16
b. 24
c. 28
d. 36