Problema Solution

Show that a four-digit number is divisible by 4 if and only if the number formed by the last two digits is divisible by 4.

Answer provided by our tutors

Answer:   let us assume a four digit number 1000a+100b+10c+d which may be written as 4×250a+4×25b+10c+d , = 4(250a+25b)+10c+d ,here 4(250a+25b) is exactly divisible by 4,hence we need to show only 10c+d is divisible by 4.

Hence we say that any four digit number is divisible by 4 if number formed by last two digits is divisible by 4.