Competition problem — Number theory

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Number theory Difficulty 2.5 Junior Find the answer

Convert 88 into a base-5 number.

Pick one

Solution

Given that $88 \div 5 = 17$ with a remainder of $3$ ,
and $17 \div 5 = 3$ with a remainder of $2$ ,
and $3 \div 5 = 0$ with a remainder of $3$ ,
therefore, by using the method of taking remainders in reverse order,
we find that the corresponding base-5 number is $323$ .
Hence, the correct option is $\boxed{\text{B}}$ .

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.