1. DIVISIBILITY RULES

2. A number is divisible by: If... 6 9 10 the number ends in 0 the number is also divisible by 2 and 3 the sum of the number's digits is 9 2 3 4 5 the number ends in 0, 2, 4, 6, or 8 the number ends in 0 or 5 the sum of the number's digits is divisible by 3 the number formed by its last two digits is divisible by 4

3. Dividing by 2 RULE: If a number ends in 0, 2, 4, 6, or 8, it is divisible by 2. Number Check the Division (Use the following page to show your work) 149 566 2 2 149 566 According to the rule, should it be divisible by2? 268 8 Yes 2 268 134 131 2 2 172 0 2 06 6 80 8 What is the last digit?

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5. Dividing by 3 RULE: If the sum of a number's digits is divisible by 3, then the number itself is divisible by 3. 262 3 174 3 512 3 390 3 0 771 7+7+1= 15 Yes 21 3 771 2 6 17 5 15 7 - - 2 1 Sum of the digits Number According to the rule, should it be divisible by 3? Check the Division (Use the following page to show your work)

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7. Dividing by 4 RULE: If the number formed by the last two digits is divisible by 4, then the number itself is divisible by 4. 3 2 Last two digits 128 Yes 28 4 128 12 08 8 00 263 4 416 4 4 4 644 139 263 416 644 139 Number According to the rule, should it be divisible by 4? Check the Division (Use the following page to show your work)

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9. Dividing by 5 RULE: If a number ends in 0 or 5, then the number is divisible by 5. 5 5 5 362 855 120 362 855 120 75 5 What is the last digit? 2500 Yes 5250 5 25 000 0 0 0 Number According to the rule, should it be divisible by 5? Check the Division (Use the following page to show your work)

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11. Dividing by 6 RULE: If a number is divisible by 2 and 3, then it is also divisible by 6. Number According to the rule, should it be divisible by 6? Check the Division (Use the following page to show your work) Is the number divisible by 2 and 3? 258 Yes 2 3 258 129 86 Yes 2586 4 24 18 3 0 125 6 6 6 246 374 576 6 125 246 576 374

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13. Dividing by 9 RULE: If the sum of a number's digits is 9, then the number is divisible by 9. 563 621 9 9 563 621 Number According to the rule, should it be divisible by9? Check the Division (Use the following page to show your work) 225 177 9 9 225 177 Sum of the digits 63 6+3=9 Yes 63 9 7 0

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15. Dividing by 10 RULE: If a number ends in 0, then it is divisible by 10. 265 174 852 10 265 174 852 What is the last digit? 390 10 390 1200Yes 120 10 1 2 20 0 Number According to the rule, should it be divisible by 10? Check the Division (Use the following page to show your work)

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