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These numbers are all divisible
by 2. Can you see why?
•4
Here’s a hint --
• 18
• 912
• 636
• 9,720
The ones digit
is even!
• A number is divisible by 2 if the
ones digit is even.
Are these numbers divisible by 2?
5
82
NO
YES
917
5,276
NO
YES
8,478,184
YES
These numbers are all divisible
by 3. Can you see why?
•9
Here’s a hint –
• 63
**Add up the digits
of each number**
• 714
• 225
• 9,720
The sum of the digits
is divisible by 3!
• A number is divisible by 3 if the
sum of the digits is divisible by 3.
Are these numbers divisible by 3?
7
27
824
NO
YES
NO
271,360 NO
9,265,689
YES
These numbers are all divisible
by 4. Can you see why?
• 16
Here’s a hint --
• 912
• 720
• 8,224
• 917,532
If the last two digits form a
number divisible by 4!
• A number is divisible by 4 if the last
two digits form a number divisible by 4.
Are these numbers divisible by 4?
15
NO
240 YES
1,693
4,408
NO
YES
12,982,540
YES
These numbers are all divisible
by 5. Can you see why?
• 15
Here’s a hint --
• 280
• 2,475
• 82,470
• 153,645
The ones digit is a
0 or 5!
• A number is divisible by 5 if the
ones digit is a 0 or 5.
Are these numbers divisible by 5?
15
YES
240 YES
1,693
4,408
NO
NO
12,982,540
YES
These numbers are all divisible
by 6. Can you see why?
• 48
• 90
• 174
• 1,044
• 39,720
Here’s a hint –
**Think about our other rules
and what two numbers are
factors of 6.**
The number is divisible
by both 2 and 3!
• A number is divisible by 6 if the
number is divisible by both 2 and 3.
Are these numbers divisible by 6?
135
NO
462 YES
7,026
50,319
YES
NO
12,982,440
YES
These numbers are all divisible
by 9. Can you see why?
• 18
Here’s a hint –
• 612
**Add up the digits of
each number**
• 7,443
• 81,225
• 99,720
The sum of the digits
is divisible by 9!
• A number is divisible by 9 if the
sum of the digits is divisible by 9.
Are these numbers divisible by 9?
72
YES
183 NO
1,287
YES
189,101 NO
12,982,440
NO
These numbers are all divisible
by 10. Can you see why?
• 50
Here’s a hint --
• 240
• 8,770
• 42,420
• 153,640
The ones digit
is 0!
• A number is divisible by 10 if the
ones digit is 0.
Are these numbers divisible by 10?
70
YES
183 NO
1,280
YES
189,101 NO
142,982,530 YES
Determine whether each
number is divisible by 2, 3, 4,
5, 6, 9, or 10.
712
2, 4
1,035
32,221
8,340
3, 5, 9
none
2, 3, 4, 5, 6, 10
Assignment
• Divisibility Rules WS
You can
do it!
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