# 275548A108543 is divisible by .find the value of A

1
by tanishqsingh
the number you gave is wrong somewhere. IT should have 0 or 5 as the units digit.
given number is wrong. it should have last digit as 5 or 0, as it is divisible by 5
2 power 48 - 1 has 15 digits in it and it is bigger than given number. Given number has only 13 digits. So A is probably 3 digits are more.

2014-07-31T23:33:57+05:30

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M = given number = 2 7 5 5 4 8 A 1 0 8 5 4 3
Divisor =  D = 2^ 48 - 1.
D = (2^24 - 1) (2^24 + 1)  = (2^12 - 1) (2^12 + 1) (2^24 + 1)
= (2^6  - 1) (2^6 + 1) (2^12 + 1) (2^24 + 1)
= (2^3 - 1) (2^3 + 1) (2^6 + 1) (2^12 + 1) (2^24 + 1)
= 7 * 9 * 13 * 5 * 4097 * (2^24 + 1)
The given number M is divisble by 9 and 5.
There is something wrong with the given number. It does not have last digit as 5 or 0.
AS it is divisible by 9,  sum all the digits and its sum should be divisible by 9.
THen you get A.