Divisibility rules
Prime factorization
GCF
LCM
GCF/LCM word problems
100

Use the rules of divisibility to determine if the given number is divisible by 2, 3, 4, 5, 6, 9, or 10 or “none”.

-464

2, 4

100

Determine if the number is prime (p), composite (c) or neither (n).

0

n

100

Find the Greatest Common Factor of

16, 28, 48


4

100

Find the Least Common Multiple of this numbers (using listing method)

6, 10, 15

30

100

Bus route Aarrives at its stop every 15 minutes.

Bus route B arrives at its stop across the street every 40 minutes. 

If both buses are currently arriving at their stops, how many hours will pass before both buses arrive at the same time?


120m or 2 hours

200

Use the rules of divisibility to determine if the given number is divisible by 2, 3, 4, 5, 6, 9, or 10 or “none”.

-1,200

2, 3, 4, 5, 6, 10

200

Determine if the number is prime (p), composite (c) or neither (n).

77

c

200

Find the Greatest Common Factor of

32, 48, 56

8

200

Find the Least Common Multiple of this numbers

8, 14, 28

56

200

M.s Smith has 39 pencils, 26 pens and 52 erasers to distribute to her class. Each student must receive the same number of pencils, erasers and pens and there will be none left. 

What is the greatest number of students in that class?

13

300

Use the rules of divisibility to determine if the given number is divisible by 2, 3, 4, 5, 6, 9, or 10 or “none”.

-716

2, 4

300

Use a factor tree to find the prime factorization of each. WRITE THE ANSWER IN ASCENDING ORDER USING EXPONENTS.

72

2^3 x 3^2

300

Find the GCF of each set using factor tree method

27, 36, 45

9

300

Find the Least Common Multiple of this numbers (using factor tree method)

9, 12, 27

108

300

M.s Smith has 39 pencils, 26 pens and 52 erasers to distribute to her class. Each student must receive the same number of pencils, erasers and pens and there will be none left. 

How many of each item will the students receive?

3 pencils, 4 erasers, 2 pens

400

Use the rules of divisibility to determine if the given number is divisible by 2, 3, 4, 5, 6, 9, or 10 or “none”.

-834

2, 3, 6

400

Use a factor tree to find the prime factorization of each. WRITE THE ANSWER IN ASCENDING ORDER USING EXPONENTS.

50

2 x 5^2

400

Find the GCF of each set using factor tree method

120 and 45

15

400

Find the Least Common Multiple of this numbers (using factor tree method)

6, 9, 20

180

400

Sam volunteers at a homeless shelter. He helps by packing socks, t-shirts and pants in bags for the residents. 

If the shelter received a donation of 60 pairs of socks, 48 t-shirts and 36 pants, how many bags of clothing can be available for the residents? (There will be no leftovers.)

12

500

Use the rules of divisibility to determine if the given number is divisible by 2, 3, 4, 5, 6, 9, or 10 or “none”.

-6,084

2, 3, 4, 6, 9

500

Use a factor tree to find the prime factorization of 110. WRITE THE ANSWER IN ASCENDING ORDER USING EXPONENTS.

2 x 5 x 11

500

Sam volunteers at a homeless shelter. He helps by packing socks, t-shirts and pants in bags for the residents. 

If the shelter received a donation of 60 pairs of socks, 48 t-shirts and 36 pants, how many of each item will be in each bag?

5 socks, 4 t-shirts, 3 pants