The least number of five digits exactly divis | vedclass

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Question

(A) The smallest $5$-digit number is $10000$.To find the least $5$-digit number divisible by $88$,we divide $10000$ by $88$.$10000 \div 88 = 113$ with

Vedclass · Accepted Answer

$10032$

Vedclass · Answer

(A) The smallest $5$-digit number is $10000$.To find the least $5$-digit number divisible by $88$,we divide $10000$ by $88$.$10000 \div 88 = 113$ with a remainder of $56$.To find the next multiple of $88$,we calculate: $88 - 56 = 32$.Adding this difference to the smallest $5$-digit number: $10000 + 32 = 10032$.Verification: $10032 \div 88 = 114$. Since $10032$ is exactly divisible by $88$,it is the required number.

The least number of five digits exactly divisible by $88$ is

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