Divide the greatest 7-digit number by the greatest 2-digit number and check your answer.
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What is the greatest two digit number?
→9999, Right?
What is the greatest 77 digit number?
→ 99999999999999, Easy!
Let's divide them, to check if 9999 is a factor of 99999999999999.
No it's not! It gives 99 as a remainder, in other words 9999999mod999999999mod99 is 99. Cool, So many 9s9s!
To find the greatest 77 digit number divisible by 9999 we just substract remainder from 99999999999999, that is 9999999–9=99999909999999–9=9999990. That's it! 99999909999990 is the answer.
For a check divide 99999909999990 by 9999, it gives 101010101010.
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