these numbers are all divisible by 2. can you see why? 4 18 912 636 9,720 here’s a hint -- the...

These numbers are all divisible by 2. Can you see why?• 4

• 18

• 912

• 636

• 9,720

Here’s a hint --

The ones digit is even!

• A number is divisible by 2 if the ones digit is even.

Are these numbers divisible by 2?55

8282

917917

5,2765,276

8,478,1848,478,184

NO

YES

NO

YES

YES

These numbers are all divisible by 3. Can you see why?• 9

• 63

• 714

• 225

• 9,720

Here’s a hint –

**Add up the digits of each number**

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?77

2727

824824

271,360271,360

9,265,6899,265,689

NO

YES

NO

NO

YES

These numbers are all divisible by 4. Can you see why?• 16

• 912

• 720

• 8,224

• 917,532

Here’s a hint --

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?1515

240240

1,6931,693

4,4084,408

12,982,54012,982,540

NO

YES

NO

YES

YES

These numbers are all divisible by 5. Can you see why?• 15

• 280

• 2,475

• 82,470

• 153,645

Here’s a hint --

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?1515

240240

1,6931,693

4,4084,408

12,982,54012,982,540

YES

YES

NO

NO

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?135135

462462

7,0267,026

50,31950,319

12,982,44012,982,440

NO

YES

YES

NO

YES

These numbers are all divisible by 9. Can you see why?• 18

• 612

• 7,443

• 81,225

• 99,720

Here’s a hint –

**Add up the digits of each number**

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?7272

183183

1,2871,287

189,101189,101

12,982,44012,982,440

YES

NO

YES

NO

NO

These numbers are all divisible by 10. Can you see why?• 50

• 240

• 8,770

• 42,420

• 153,640

Here’s a hint --

The ones digit is 0!

• A number is divisible by A number is divisible by 1010 if if the the ones digit is 0.ones digit is 0.

Are these numbers divisible by 10?7070

183183

1,2801,280

189,101189,101

142,982,530142,982,530

YES

NO

YES

NO

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!