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For a number to be divisible by 105 it must be divisible by 3, by 5 and by 7. So, divisibility by 3 requires all three of the following to be satisfied:
- Sum the digits together. Repeat if necessary. If the answer is 0, 3, 6 or 9 the original number is divisible by 3.
- If the final digit of the number is 0 or 5, the original number is divisible by 5.
- Take the number formed by all but the last digit. From it subtract double the last digit. Keep going until there is only one digit left. If it is 0 or 7 then the original number is divisible by 7.
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Continue Learning about Other Math
How can the divisibility rules help us simplify fractions?
i think divisibility rules help with fractions because it helps you reduce the fraction to make i a simple fraction.
What numbers 2 3 5 9 divides into 123456789 evenly using divisibility rules?
3 and 9. And they divide into 123456789 whether or not you use divisibility rules!
Reduce 324/711 using divisibility rules?
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324/711 reduce using divisibility rules?
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Who invented the divisibility rules?
Oh honey, divisibility rules have been around longer than your grandma's secret meatloaf recipe. But if you want a name to drop at your next trivia night, credit goes to good ol' Euclid. He's the OG mathematician who laid down the law on how numbers can play nice and divide evenly.
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