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The ideas in this multiplication lesson are taken from Division 2 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

Remember? A number is divisible by another number if when you do the division, it is exact. In other words, there is no remainder. You can use long division to check if there is a remainder or not. For example,

		2	8

2		5	6
	-	4
		1	6
	-	1	6
			0

		2	6

3		7	8
	-	6
		1	8
	-	1	8
			0

		1	6

4		6	7
	-	4
		2	7
	-	2	4
			3

56 ÷ 2 = 28.
So 56 is divisible by 2.

78 ÷ 3 = 26.
So 78 is divisible by 3.

67 ÷ 4 = 16, R 3.
So 67 is not divisible by 4.

Practice

1. Answer the questions. Justify your answer in each case.

Is 89 divisible by 9?

No, because 90 is divisible by 9, and so 89 cannot be since only every ninth number is divisible by 9.

Is 100 divisible by 4?

Yes, because
100 ÷ 4 = ___
(exact division)

Is 101 divisible by 4?

Is 603 divisible by 4?

Is 906 divisible by 7?

No, because
906 ÷ 7 = ___ R__
(not exact division)

	1

7	9	0	6

Is 666 divisible by 3?

2. Make a list of numbers that are between 20 and 50 that are divisible by 2. Use the multiplication table of 2 as a starting point.

3. Study which of these numbers are divisible by 2. Use your notebook for any long divisions you want to make.

number	divisible by 2 (yes/no)	number	divisible by 2 (yes/no)	number	divisible by 2 (yes/no)	number	divisible by 2 (yes/no)
330		334		338		342

4. Based on your findings in the previous exercise, make a guess of the rule for divisibility by 2. Then indicate which of the following numbers are divisible by 2. Check with your teacher.

Numbers that are divisible by 2 are called EVEN NUMBERS.
They end in (the last digit is) either __, __, __, ___, or __.

5. Study which of these numbers are divisible by 5. Use your notebook for any long divisions you want to make.

number	divisible by 5 (yes/no)	number	divisible by 5 (yes/no)	number	divisible by 5 (yes/no)	number	divisible by 5 (yes/no)
330		334		338		342

Numbers that are divisible by 5 end in (the last digit is) either __ or __.

Numbers that are divisible by 10 end in (the last digit is) __.

If a number is divisible by 10, it ends in zero, so it is ALSO divisible by 2 and 5.

6. Indicate if the following numbers are divisible by 2, 5, or 10.

	divisible				divisible				divisible
number	by 2	by 5	by 10	number	by 2	by 5	by 10	number	by 2	by 5	by 10
980				346				335
987				340				128

New! Times Tales is now on DVD!

The fast, FUN, and easy way to learn multiplication. Learn the upper times tales in two sittings using mnemonic stories.

Divisibility Free lesson plan from HomeschoolMath.net

Practice

Divisibility
Free lesson plan from HomeschoolMath.net