Divisibility RulesHow do we know when we can divide

one number into another exactly?

Create a five digit number that is divisible by 2, 5, and 10.

Math Challenge

Create a five digit number that is divisible by 2, but not 5 or 10. Can you create a number that is divisible by 5, but not by ten?

Today we will study the

Rules of Divisibility

How do you know if a number is divisible by 2?

What about 3? 4? 5?

Discuss what you know about divisibility with your partner or group.

Divisibility Rules for 2

A number is divisible by 2 if...

the last digit is even

Divisibility Rules for 3

A number is divisible by 3 if...

the sum of the digits is 3, 6 or 9

Divisibility Rules for 4

A number is divisible by 4 if...

the number made by the last two digits can be divided by 4

Divisibility Rules for 5

A number is divisible by 5 if

the last digit is a 5 or a 0

Divisibility Rules for 6A number can be

divided by 6 if

the last digit is even and the sum of all the digits is 3, 6 or 9

Divisibility Rules for 8A number is

divisible by 8 if

the number made by the last three digits will be divisible by 8

Divisibility Rules for 9A number is divisible by 9 if

the sum of all the digits will add to 9

Divisibility Rules for 10

A number is divisible by 10 if

the last digit is a 0

Divisibility Rules for 7

Can you create a divisibility rule for the number 7?