Divisibility

Easily test if one number can be exactly divided by another

What are the divisibility rules (Tests)?

Poll

Did you learn these rules with Mr. Schuler?

• Yes

• No

• Maybe

• I do not remember

​Divisible by 2.

A number is dibisible by 2 if its last digit is even (0,2,4,6,8)

eg 4,136 is an even number ∴ it is dibisible by 2.

Multiple Choice

Is 302 an even number?

• Yes

• No

​Divisible by 3.

A number is dibisible by 3 if the sum of its digits is divisible by 3.

eg 312 is divisible by 3 as (3+1+2=6, and 6/3=2) ∴ 312 is dibisible by 3.

Draw

Draw a number that is divisible by 3.

​Divisible by 4.

A number is dibisible by 4 if its last 2 digits are zeros or divisible by 4

eg 76,112, its last two digits are 12, and 12 ÷ 4 = 3 ∴ it is divisible by 4.

​

eg 4,200, its last two digits are 00​ ∴ it is divisible by 4.

Multiple Choice

Is 36,928 divisible by 4?

• Yes, because the sum of the digits is a multiple of 4

• Yes, because it is an even number

• Yes because the last two digits, 28, is divisible by 4

• Yes, because it is divisible by 2 and 3

​Divisible by 5.

A number is dibisible by 5 if its last digit is 0 or 5.

eg 4,135 finishs in 5 ∴ it is dibisible by 5.

Multiple Choice

All of these numbers are divisible by 5 except for...

• 75,395

• 984,940

• 222,222,235

• 8,943,892

​Divisible by 6.

A number is dibisible by 6 if its divisible by both 2 and 3.

eg 40,002 is a even number (because it ends in 2) and its digit sum (4+0+0+0+0+2 = 6, and 6/3 =2) is divisible by 3 ∴ 40,002 is dibisible by 6.

Draw

Write down a number that is divisible by 6.

​Divisible by 8.

A number is divisible by 8 if the number formed by its last 3 digits is divisible by 8.

​

Is 1,016 divisible by 8?

• The last 3 digits form the number 016, or 16.

• 16 is divisible by 8, so 1,016 is divisible by 8.

Draw

What is 1,016 divided by 8?

​Divisible by 9.

A number is divisible by 9 if the sum of its digits is divisible by 9.

Is 675 divisible by 9?

• Add the digits. 6+7+5=18

• 18 is divisible by 9, so 675 is divisible by 9.

Draw

Write down three digit number that is divisible by 9.

​Divisible by 10.

A number is divisible by 10 if its ones digit is 0.

​Is 420 divisible by 10?

• The ones digit in 420 is 0.

• So, 420 is divisible by 10.

Multiple Choice

Which number is divisible by 2 and 5?

• 24,580

• 77

• 222

• 5

Multiple Choice

Which number is divisible by 2, 3, 4, 5, 6 and 10?

• 123

• 144

• 210

• 1,140

Multiple Choice

2520 is divisible by 6 because:

• It is divisible by 2 (even) and 5 (ends in a 0 or 5)

• The sum of the digits is 12, a multiple of 6

• It's divisible by 2 (even) and 3 (sum of digits is a multiple of 3)

• The sum of the digits is even

Multiple Choice

Which of the following numbers is NOT divisible by 4?

• 1000

• 1566

• 5740

• 2024

Multiple Choice

True or False...

40,500 is divisible by 6

• Yes

• No

Poll

Do you like this lesson?

• Yes

• No