1. 2, 5, and 10
DIVISIBILITY RULES

2. 2, 5, and 10
DIVISIBILITY RULES
EXERCISES on

3. DIVISIBILITY RULES
The rules are shortcuts for finding out
whether numbers are exactly divisible
without doing division calculations.“

4. Divisible by 2
If the number ends with
0, 2, 4, 6, or 8
then it is divisible by 2.“

5. Divisible by 2
248 Look at the last digit of this number
Is the number ends with 0, 2, 4, 6, or 8?
Then it is divisible by 2.

6. Numbers Divisible by 2? Why?
232
694
725
426
107
Test yourself

7. Numbers Divisible by 2? Why?
232 yes the last digit is 2
694 yes the last digit is 4
725 no the last digit is 5 not 0,2,4,6,8
426 yes the last digit is 6
107 no the last digit is 7 not 0,2,4,6,8
Test yourself

8. Divisible by 5
If the number ends with
a 0, or a 5
then it is divisible by 5.“

9. Divisible by 5
135 Look at the last digit of this number
Is the number ends with 0 or 5?
Then it is divisible by 5.

10. Numbers Divisible by 5? Why?
235
194
120
426
Test yourself

11. Numbers Divisible by 5? Why?
235 yes the last digit is 5
194 no the last digit is 4 not 0 or 5
120 yes the last digit is 0
426 no the last digit is 6 not 0 or 5
Test yourself

12. Divisible by 10
If the last digit of the number
is a 0
then it is divisible by 10.“

13. Divisible by 10
370 Look at the last digit of this number
Is the number ends with 0?
Then it is divisible by 10.

14. Numbers Divisible by 10? Why?
230 yes the last digit is 0
194 no the last digit is 4 not 0
125 no the last digit is 5 not 0
426 no the last digit is 6 not 0
Test yourself

15. Apply your skills
Use divisibility rules to help you solve the following problems.
1. Frances has a collection of 672 stamps. She wants to place the stamps in 2
envelopes .Can she place the same number of stamps in each envelope?
2. The number of books in Karla’s collection is divisible by 2,5 and 10. She has
more than 11 books and fewer than 25 books. How many books does Karla
have?

16. Apply your skills
Use divisibility rules to help you solve the following problems.
1. Frances has a collection of 672 stamps. She wants to place the stamps in 2
envelopes .Can she place the same number of stamps in each envelope?
Yes. Using the divisibility rule for 2, Frances can place the same number
of stamps in each envelope (2 envelopes). Because the last digit of the number
of stamps (672) is 2.

17. Apply your skills
Use divisibility rules to help you solve the following problems.
2. The number of books in Karla’s collection is divisible by 2,5 and 10. She has
more than 11 books and fewer than 25 books. How many books does Karla
have?
Using divisibility rules for 2, 5, and 10 and the statement that the number
of books is more than 11 and fewer than 25 books we will know how many
books does Karla have. From 12 to 24, we can tell that number 20 is the only
number divisible to 2, 5 and 10. Thus, Karla has 20 books.

18. Is this number divisible by 2, 5, and 10?
12 2 only 19 no
13 no 20 2, 5, and 10
14 2 only 21 no
15 5 only 22 2 only
16 2 only 23 no
17 no 24 2 only
18 2 only
From 12 to 24, we can tell that number 20 is the only number divisible to 2, 5 and 10. Thus,
Karla has 20 books.

19. See you on the next lesson classmates!
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