divisibility rules
DESCRIPTION
DIVISIBILITY RULES. the number ends in 0, 2, 4, 6, or 8. 2. 3. the sum of the number's digits is divisible by 3. the number formed by its last two digits is divisible by 4. 4. 5. the number ends in 0 or 5. 6. the number is also divisible by 2 and 3. 9. - PowerPoint PPT PresentationTRANSCRIPT
DIVISIBILITY RULES
A number is divisible by: If...
6
9
10 the number ends in 0
the number is also divisible by 2 and 3
the sum of the number's digits is 9
2
3
4
5
the number ends in 0, 2, 4, 6, or 8
the number ends in 0 or 5
the sum of the number's digits is divisible by 3
the number formed by its last two digits is divisible by 4
Dividing by 2 RULE: If a number ends in 0, 2, 4, 6, or 8, it is divisible by 2.
NumberCheck the Division (Use the following page to show your work)
149
566
2
2
149
566
According to the rule, should it be divisible by2?
268 8 Yes 2 26813 4
131 2
2
131
172172
0
20 6
6808
What is the last digit?
Show your work on this page.
Dividing by 3RULE: If the sum of a number's digits is divisible by 3, then the number itself is divisible by 3.
262 3 262
174 3 174
512 3 512
390 3 390
0
771 7+7+1= 15 Yes
2 1
3 7712
6
1 7
5
15
7
-
-
2 1
Sum of the digitsNumber
According to the rule, should it be divisible by 3?
Check the Division (Use the following page to show your work)
Show your work on this page.
Dividing by 4RULE: If the number formed by the last two digits is divisible by 4, then the number itself is divisible by 4.
3 2
Last two digits
128 Yes28 4 12812
0 8800
263 4
416 4
4
4
644
139
263
416
644
139
NumberAccording to the rule, should it be divisible by 4?
Check the Division (Use the following page to show your work)
Show your work on this page.
Dividing by 5RULE: If a number ends in 0 or 5, then the number is divisible by 5.
5
5
5
362
855
120
362
855
120
75 5 75
What is the last digit?
250 0 Yes5 250
5
25000
0
00
NumberAccording to the rule, should it be divisible by 5?
Check the Division (Use the following page to show your work)
Show your work on this page.
Dividing by 6RULE: If a number is divisible by 2 and 3, then it is also divisible by 6.
NumberAccording to the rule, should it be divisible by 6?
Check the Division (Use the following page to show your work)
Is the number divisible by 2 and 3?
258 Yes
2
3 258
258129
86
Yes25864
2418
3
180
125 6
6
6
246
374
576
6
125
246
576
374
Show your work on this page.
Dividing by 9RULE: If the sum of a number's digits is 9, then the number is divisible by 9.
563
621 9
9 563
621
NumberAccording to the rule, should it be divisible by9?
Check the Division (Use the following page to show your work)
225
177 9
9 225
177
Sum of the digits
63 6+3=9 Yes 639
7
63
0
Show your work on this page.
Dividing by 10
RULE: If a number ends in 0, then it is divisible by 10.
265
174
852
10
10
10
265
174
852
What is the last digit?
390 10 390
120 0 Yes
120101
10
2
2020
0
NumberAccording to the rule, should it be divisible by 10?
Check the Division (Use the following page to show your work)
Show your work on this page.