Factors and Multiples
Divisibility Rules
GCF and LCM
Square and Cube
100

It is the result of multiplying a number by another number.  

Answer: Multiples

100

True or False.

If a number is divisible by 3, it is also divisible by 9. 

False, because not all numbers divisible by 3 is also divisible by 9, like digit 3 and 6. 

100

True or False.

The GCF of 45, 18, and 54 is 9. 

True

100

Which two numbers are both square and cube numbers? 

      27       9       64       1      16       8       36 

1 and 27 are both square and cube numbers.


200

Which two numbers are factors of 72?

          5       12       14       16       8      

Answers: 12 and 8

72 / 12 = 6

72 / 8 = 9

200

True or False. 

A number is divisible by 5 only if its last digit is 5.

False, because divisible by 5 must end in 0 and 5. 

200

In finding the GCF and LCM, we can use three methods: 

1. Listing Method

2. Prime Factorization

3. _____________

Continuous Division

200

Which number is not belong to the group.

       125       27       8       36       216               

36 is a square number while the rest are cube numbers. 

300

Which two numbers are multiples of 6 and 9?

       27        36       48       54       63

Answers: 

6 x 6 = 36 

9 x 6 = 54

300

Write a digit to make the numbers divisible by 9. 

    8 7 ____ 5

The sum of the digits: 8 + 7 + 5 = 20. To make it divisible by 9, the sum must be a multiple of 9. 

The missing digit is 7 to get the sum of 27. 

300

Cams has 48 oranges, 36 peaches and 18 pears. She wants to put all of the fruit into baskets with each basket having the same number of pieces of fruit in it. Without mixing the fruit, what is the greatest number of pieces of fruit Cams can put in each basket?

Find the GCF.

Cams can pack 6 pieces of fruit in each basket.

300

Find two square numbers less than 100 that add up to 130.

Answer: 49 and 81

400

Which number is not a factor of 32? 

      1     2     4     6     8     16     32

Answer: 6

400

True or False. 

1 050 is divisible by 25. 

True, if the last two digit  of the number is divisible by 25, then it is divisible by 25.

400

At the gym, Hanna swims every 6 days, runs every 4 days, and cycles every 16 days. If she did all three activities today, in how many days will she do all three activities again on the same day?

Find the LCM.

In 48 days, she will do all three on the same day.

400

What is the difference between the 9th and 8th cube number?

729 - 512 = 217

Answer: 217

500

Write two pairs of prime numbers below 20 that add up to a cube number?

Answer: 

3 + 5 = 8

500

What are the numbers that are divisible by 6?    

     1 342         216         693         4 314

216 and 4 314 are divisible by 6. 

500

A full moon occurs every 30 days. If the last full moon occurred on a Friday, how many days will pass before a full moon occurs again on a Friday?

To find a common multiple, we can multiply 30 days by 7 days in a Week (to end up on Friday again). 

30 x 7 = 210

It will take 210 days.

500

What is the product of the 7th cube number and 3rd square number?

343 x 9 = 3 087

Answer: 3 087