Sunday 2 October 2016

Simple Divisibility rule for 2 and its power

In the Last class, we had seen the Divisibility of " 2"
Similarly, for different powers of  " 2 " mean non-roots words like 2^2=4, 2^3=8,-----
Divisibility rule for 2^1=2, we had checked the last digit of the number is divisible by 2 
for 2^2=4 we need to check the last 2 digits of the number must be divisible by 4 then the whole number is divisible by 4
For example,    Is 2345677808 divisible by 4
On sight, we can say that last two digits " 08" divisible by 4 
then the whole number is divisible by " 4 "
Similarly, depending on the power of the 2 we need to take the last digits to check whether the number is divisible by that number r not
If the  divisibility of 
            2^2=4, it is the second power of 2 so we need to check whether last two digits of the number are divisible 4 or not
           2^3=8,it is the third power of 2 so we need to check whether last three digits of the number are divisible by 8 or not
           2^4=16,it is a fourth power of 2 so we need to check whether last four digits of the number are divisible by 16 or not
    Similarly, for all power of the two, we need to check depending on the power and the last digits of the number
For Example,
 Is it 6348394863847634986734837568 divisible by 8
as we know that 8 is the third power of 2 
We check that last three digits of the number 568 are divisible by 8 
568/8=71, so that whole number is divisible by 8

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