Divisibility Rules

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## Divisibility Rules

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**Divisibility Rules**How do we know when we can divide one number into another exactly?**Math Challenge**Create a five digit number that is divisible by 2, 5, and 10. 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 DivisibilityHow 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 6**A 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 8**A number is divisible by 8 if • the number made by the last three digits will be divisible by 8**Divisibility Rules for 9**A 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?