Divisibility Rules

Divisibility Rules

Divisibile by 2

• the number must end in an even number

• 0,2,4,6,8

Multiple Choice

Is this number divisible by 2?

84

• Yes

• No

Multiple Choice

Is this number divisible by 2?

757

• Yes

• No

Multiple Choice

Is this number divisible by 2?

3,876,483,764

• Yes

• No

Open Ended

Write a six digit number that is divisible by 2

Divisible by 3

• the sum of the digits can be divisible by 3

• 54 is divisible by 3. 5 + 4 = 9 (9 is divisible by 3)

Multiple Choice

Is this number divisible by 3?

351

• Yes

• No

Multiple Choice

Is this number divisible by 3?

46.9

• Yes

• No

Multiple Choice

Is this number divisible by 3?

28473

• Yes

• No

Open Ended

Write a six digit number that is divisible by 3

Divisible by 4

• ...the last two digits are divisible by 4.

• 116 is divisible by 4 because 16 is divisible by 4.

• ...the number can be halved twice.

• 32 is divisible by 4. Half of 32 is 16 and half of 16 is 8.

Multiple Choice

Is this number divisible by 4?

744

• Yes

• No

Multiple Choice

Is this number divisible by 4?

524.32

• Yes

• No

Multiple Choice

Is this number divisible by 4?

52, 432

• Yes

• No

Open Ended

Write a six digit number that is divisible by 4

Divisible by 5

• Ends in a 5 or 0

Multiple Choice

Is this number divisible by 5?

78967

• Yes

• No

Multiple Choice

Is this number divisible by 5?

7820

• Yes

• No

Multiple Choice

Is this number divisible by 5?

3795

• Yes

• No

Open Ended

Write a six digit number that is divisible by 5

Divisible by 6

• is divisible by 2 (ends in an even number)

• is divisible by 3 (sum of digits are divisible by 3)

Multiple Choice

Is this number divisible by 6?

7856

• Yes

• No

Multiple Choice

Is this number divisible by 6?

348

• Yes

• No

Multiple Choice

Is this number divisible by 6?

78.24

• Yes

• No

Open Ended

Write a six digit number that is divisible by 6

No Rule for Divisible by 7

Divisible by 8

• ...it is divisible by 2 and 4. (It passes the

  Divisibility Rule for 2 and 4.)

• ...the number can be halved three times.

• example: 32 is divisible by 8. Half of 32 is 16, half of 16 is 8, and half of 8 is 4.

Multiple Choice

Is this number divisible by 8?

264

• Yes

• No

Multiple Choice

Is this number divisible by 8?

4336

• Yes

• No

Multiple Choice

Is this number divisible by 8?

983

• Yes

• No

Divisible by 9

• ...the sum of the digits is divisible by 9.

• 81 is divisible by 9. 8 + 1 = 9 (9 is divisible by 9)

• 
  

Multiple Choice

Is this number divisible by 9?

153

• Yes

• No

Multiple Choice

Is this number divisible by 9?

837

• Yes

• No

Multiple Choice

Is this number divisible by 9?

25,794

• Yes

• No

Divisible by 10

• It ends in 0

• 48876349863270 is divisible by 10.

Multiple Choice

Is this number divisible by 10?

8790

• Yes

• No

Multiple Choice

Is this number divisible by 10?

7252

• Yes

• No

Multiple Choice

Is this number divisible by 10?

78,714,181,210

• Yes

• No