Question

( begin{aligned} 2^{2002}=& 2^{2} cdotleft(2^{4}right)^{500} =& 2^{2} cdot(17-1)^{500} =& 2^{2}+(17 k+1) text { far some } &+v e text { integer } k =& 4.17 k+4 text { Hence } 4 text { is the answer } end{aligned} )

# Find the remainder when x = 5 (24 times 5) is divided by 24 IS Find the remainder when 22002 is divisible by 17

Solution