The ideas in this division lesson are taken from Division 1 ebook. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.

Divisibility
Free lesson plan from HomeschoolMath.net

Example problems

1.  Follow the example and find if the following numbers are divisible by given numbers.

2.  If the division is exact, mark the remainder as 0.

3.   If the division is exact, mark the remainder as 0.

4.  Write a list of twelve different numbers that are divisible by 6.  Then write twelve different numbers that are NOT divisible by 6.

5.  Divide and indicate a remainder if there is any.

6.  Write a division or multiplication sentence for each word problem.  Indicate a remainder if there is any.

a)  Mom baked 29 rolls for the dinner party.  There were 8 guests.  How many rolls did each one get if they were divided evenly, and how many were left over?
 

f)  Pat wanted to bake 3 rolls for each guest of the party.  She had invited 12 guests.  How many rolls did she need to bake?

7.   Divide by 10!  Discuss with your teacher the patterns you notice.

8.  Did you notice the pattern of reminders in the previous exercise?  Based on that you can easily solve:

9. Make a list of numbers that are divisible by 2.  (Hint: think multiplication table of 2!):

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We can continue the table by adding 2 each time.  Fill also the division table.

Now make a LONG list of even numbers!  How long a list can you make?

0, 2, _____________________________________________________________________________

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10.  Make a list of numbers that are NOT divisible by 2 and are less than 50.  They are called odd numbers.

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11.  Find all the numbers between 0 and 100 that are divisible by 5.  Start out with those that are in the multiplication table of 5.  What pattern do you notice?

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12.  Find all the numbers between 0 and 200 that are divisible by 10.  Start out with those that are in the multiplication table of 10.  What pattern do you notice?

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13. Make a list of numbers that are divisible by 3.  (Hint: think multiplication table of 3!):

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Continue the multiplication table by adding 3 each time.  Fill also the division table.

Based on the tables above, tell which of these numbers are divisible by 3, and which are not:

43   54   64   34  38  40  50  51  56  58  60

 
14.  Find all the numbers between 0 and 100 that are divisible by 4.  Start with those in the multiplication table of 4.

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15.  From the lists you have made, find all the numbers between 0 and 100 that are divisible both by 4 AND 5.

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16. a)   Find a number between 21 and 30 that is divisible by 2, 3, and 4.

    b)  Find two numbers between 21 and 30 that are NOT divisible by 2, 3, or 4.

What are the mystery numbers?  All numbers are less than 50. a).   I am divisible by 10 and 4 but not divisible by 8.     b).  I am divisible by 11, and if you divide me by 5,  I leave a remainder of 3.        c)  I am divisible by 5 and 3, and leave a  remainder of 1 if  divided by 2.

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