Rules What is Divisibility Divisibility means that after dividing there will be no remainders 6 2 2 6 1 2 6 3 2 2 1 0 6 30 1 No reminders Reminders 0 ID: 269845
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Slide1
Divisibility
Rules!Slide2
What is Divisibility?
Divisibility means that
:
after dividing, there will be no remainders.
6 2
2
6 1
2
6
3
2
2
1
0
6
30
1
No reminders
Reminders
0
1Slide3
÷ 4 =
542 ÷ 2 =
59 ÷ 3=620 ÷ 5 =75 ÷ 4 =
12040 ÷ 10 =
Use your calculator Slide4
356,821
Can
you tell by just looking at this number if it is divisible by 2?
by 5?
by 10?
by 3 ?by 9?By 6?
The divisibility rules can help you!Slide5
Divisibility rules help you learn
shortcuts
to tell when a number can be divided by another number without any remainders.
Slide6
Divisibility by 2Slide7
Divisibility by 2
A number is divisible by 2
if the number is
even.
18 ÷ 2 = 9
22
÷ 2 = 11
(18 and 22: Notice that both of these dividends are even.)
21 ÷ 2 = 10 R1
(21: not an even number.)Slide8
Are these numbers
divisible by
2?
127
24
4678
11
325
20
On your whiteboardSlide9
Divisibility by 5Slide10
Divisibility by 5
A number is divisible by 5 if it
ends in 0 or 5.
25 ÷ 5 = 5
23 ÷ 5 = 4 R3Slide11
Are these numbers
divisible by 5?
328
215
4670
21
84
9
185470
(Units are not 0 or 5
(Units are not 0 or 5
(Units are not 0 or 5
(Units are not 0 or 5Slide12
Divisibility by 10Slide13
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
Slide14
Divisibility By:
2
5
10
1825
346
510
1108Slide15
Complete your worksheetSlide16
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.
Slide17
Are these numbers
divisible by 3?
328
216
4680
21
85
19
65410Slide18
Divisibility by 6
A number is divisible by 6
if it is
divisible by
both
2 and 3.
Is 42 divisible by 6? Think:
Is 42 divisible by 2?Is 42 divisible by 3
?
Is 51 divisible by 6?Slide19
Are these numbers
divisible by 6?
32
21
48
36
85
18
65410Slide20
Divisibility by 6Slide21
Divisibility
by 9
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 is divisible by 9.Slide22
Are these numbers
divisible by 9?
42
207
61
1288
33
24
65410Slide23
Divisibility by 9Slide24
A number is divisible by 25 if the
last two digits
are
25 , 75 , 50 , 00
Divisibility by 25
Divisibility by 100
Examples
14
20
1420
÷ 25 =56.8
6
00
600 ÷ 25 = 24
A number is divisible by 100 if the
last two digits
are
00
Examples
65
00
6500
÷ 100=65
6
10
610÷ 100= 6.1 Slide25
A number is divisible by 4 if the
last two digits
are divisible by 4.
Examples:
13
20
20
÷ 4 = 5
6
72
72 ÷ 4 = 18
Divisibility by 4Slide26
Divisibility by 4Slide27
Now You Try: Which number
IS NOT divisible by 4?564 4101 188 Slide28Slide29
Complete your worksheetSlide30
WONDERFULSlide31
The last 2 digits are divisible by 4.