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Divisibility Rules

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Exponent Rules
Answers
OLD   I. OLFACTORY  
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OPIE   II. OPTIC  
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OCCASIONALLY   III. OCULOMOTOR  
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TRIES   IV. TROCLEAR  
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TRIGNOMETRY   V. TRIGEMINAL  
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AND   VI. ABDUCENS  
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FEELS   VII. FACIAL  
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VERY   VIII. VESTIBULOCOCHLEAR  
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GLOOMY   IX. GLOSSOPHARYNGEAL  
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VAGUE   X. VAGUS  
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AND   XI. ACCESSORY  
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HYPOACTIVE   XII. HYPOGLOSSAL  
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Is 540 Divisible by 2   Yes ends in a zero  
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Is 748 Divisible by 4   Yes last 2 digits divisible by 4  
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Is 545 divisible y 10   NO, does not end in a zero  
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Is 918 Divisible by 9   Yes 9+1+8 = 18 and 18 is divisible by 9  
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Is 54 Divisible by 3   Yes 5+ 4 = 9 and 9 is divisible by 3  
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Is 700848 Divisible by 8   Yes 8 goes into the last 3 digits 106 times  
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Is 108 Divisible by 3 and 9   Yes 1+ 8 = 9 and is divisible by both 3 and 9  
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Is 2,356 divisible by 2?   Yes. 2,356 ends with a 6.  
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Is 90 divisible by 10?   Yes. 90 ends with a 0.  
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Is 560 divisible by 5?   Yes. 560 ends with 0.  
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Is 745 divisible by 2?   No. Check the last digit. It should be even to be divisible by 2.  
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Is 634 divisible by 5?   No. The last digit should be 0 or 5 in order for a number to be divisible by 5.  
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435 is divisible by 2 numbers. What are they?   3 and 5. Why? If you add 4 + 3 + 5 = 12. 12 is divisible by 3. Therefore, 435 is divisible by 3. Check the last digit. It's 5. That means 435 is divisible by 5.  
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Is 402 divisible by 10?   No. In order for a number to be divisible by 10, the number has to end in 0.  
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Is 1,000 divisible by 3?   No. The sum of all the digits, 1 + 0 + 0 + 0 = 1. One is not divisible by 3.  
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Is 634 divisible by 6?   No. It is divisible by 2 because it ends in an even number. However, 634 is not divisible by 3, because 6 + 3 + 4 = 13 and 13 is not divisible by 3. Therefore, 634 cannot be divisible by 6.  
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Is 612 divisible by 9?   Yes. Add 6 + 1 + 2. The answer is 9. 9 is divisible by 9.  
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Is 144 divisible by 3?   Yes. 1 + 4 + 4 = 9. 9 is divisible by 3.  
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Divisibility Rule for 7   Take the last digit of the number; double it; then subtract it from the rest of the number. If the result is divisible by this number, then so is the original number.  
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Check to see if 217 is divisible by 7.   Yes. 7*2=14; 21-14 = 7. Since 7 is divisible by 7, then so is 217.  
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Check to see if 896 is divisible by 7.   6*2 = 12; 89 - 12 = 77; Since 77 is divisible by 7, then so is 896.  
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