Reverse digits

Number Theory Level 4

Find a 5 5 -digit number so that its digits is completely reversed when multiplying it with some integer n n , where 2 ≤ n ≤ 8 2\le n\le 8 .

This is a part of the Set .


The answer is 21978.

Khang Nguyen Thanh by Khang Nguyen Thanh , 27, Vietnam

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1 solution

Nguyen Thanh Long
Aug 31, 2015

Its very easy to assume the number has the format: 2abc8. By trying some calculations to get: abc=197. R = 21978 R = \boxed{21978}

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