Download Divisibility Rules

Divisibility
Rules
What is Divisibility?
Divisibility
means that
after dividing,
there will be
NO
remainder.
356,821
• Can you tell by
just looking at
this number if it
is divisible by 2
and 4 ?
• by 5?
• by 10?
• by 3 ?
• by 9?
• By 6?
• The
divisibility
rules
can help
YOU !!!
Divisibility Rules
help you learn shortcuts to tell when a
number can be divided by another
number with NO remainder.
Divisibility by 2
• A number is
divisible by
2
if the
number
is even.
18 ÷ 2 = 9
22 ÷ 2 = 11
(Notice that both
of these numbers
are even.)
21 ÷ 2 = 10 R1
(Not an even number.)
Are these numbers divisible
by 2?
• 127
• 937
(Not an even number)
(Not an even number)
• 4678
Now You Try
Are these numbers divisible by 2?
a) 458
b) 1279
c) 759
d) 555
e) 1050
Divisibility by 3
• A number is divisible by 3 if the sum of the
digits is divisible by 3.
Is the number 135 divisible by 3?
Add the digits: 1 + 3 + 5 = 9
Yes, 135 is divisible by 3 because the sum of the
digits is divisible by 3.
Now You Try
Are these numbers divisible by 3?
a) 3639
b) 56
c) 1286
d) 3600
e) 3468
Dividing by 4
• If the last 2 digits together are divisible by 4
Now You Try
Are these numbers divisible by 4?
a) 1584
b) 2261
c) 4256
d) 9920
e) 4767
Divisibility by 5
• A number is divisible by
5 if it ends in 0 or 5.
25 ÷ 5 = 5
23 ÷ 5 = 4 R3
Now You Try
Are these numbers divisible by 5?
a) 3554
b) 6890
c) 1345
d) 7902
e) 4845
Divisibility by 6
• A number is
divisible by 6
if it is
divisible
by both
2 and 3.
• Is
by
• Is
by
42 divisible
6?
51 divisible
6?
Now You Try
Are these numbers divisible by 6?
a) 2897
b) 4258
c) 5630
d) 8345
e) 484
Divisibility by
• A number is •
divisible by 9
if the sum of •
its digits is •
divisible by
9.
369 is divisible by
9
because
3 + 6 + 9 =18
1 + 8 = 9
AND
9.
9 is divisible by
Now You Try
Are these numbers divisible by 9?
a) 3578
b) 7398
c) 3248
d) 1903
e) 490
Divisibility by
• A number
is
divisible
by 10 if
it ends in
0.
• 30 ÷ 10 = 3
• 340 ÷ 10 = 34
• 67 ÷ 10 = 6 R7
• 784 ÷ 10 =78 R4
Now You Try
Are these numbers divisible by
10?
a) 5578
b) 8390
c) 4248
d) 1903
e) 8490
REVIEW
• Divisible by 2
* Divisible by 6
• Divisible by 3
• Divisible by 9
• Divisible by 4
• Divisible by 10
• Divisible by 5
Divisibility By:
1815
5346
510
1008
2 3 6 4
5 9 10
After All…DIVISIBILITY Rules!!
Divisibility
Rules
The End !!
THE END
Content:
P. Frye, Oak Grove Elementary School, December 2003
Graphics:
Microsoft Clip Gallery
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