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Divisibility Rules

Introduction

Terms

Examples

Which of the following numbers is not divisible by 2?
If a whole number ends in 0, 2, 4, 6, or 8, then the number is called an even number and is divisible by 2.
( is not even) No
( is even) Yes
( is even) Yes
( is even) Yes

Which of the following numbers is not divisible by 3?
If the sum of the digits of a whole number is divisible by 3, then the number itself is divisible by 3.
(, and /3 = No) No No
(, and /3 = Yes) Yes Yes
(, and /3 = Yes) Yes Yes
(, and /3 = Yes) Yes Yes

Which of the following numbers is not divisible by 4?
If the number represented by the last two digits of a whole number is divisible by 4, then the number itself is divisible by 4.
() No
() Yes
() Yes
() Yes

Which of the following numbers is not divisible by 5?
If a whole number ends in a zero or a 5, then the number is divisible by 5.

Which of the following numbers is not divisible by 6?
If a whole number is divisible by 2 and by 3, then it is divisible by 6.
( is not even) No
(, and /3 = No) No No
( is even) Yes
(, and /3 = Yes) Yes Yes
( is even) Yes
(, and /3 = Yes) Yes Yes
( is even) Yes
(, and /3 = Yes) Yes Yes

Which of the following numbers is not divisible by 8?
If the number represented by the last three digits of a whole number is divisible by 8, then the number itself is divisible by 8
() No
() Yes
() Yes
() Yes

Which of the following numbers is not divisible by 9?
If the sum of the digits of a whole number is divisible by 9, then the number itself is divisible by 9.
() No
() Yes
() Yes
() Yes

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