The largest integer value of x such that 4x divides exactly into 10! is?
Since 10! =3,628,800 = 2^8 * 3^4 * 5^2 * 7.
But 2^8 =(2^2)^4 =4^4
10!= 1*2*3*4*5*6*7*8*9*10
= 2*3*2*2*5*2*3*7*2*2*2*9*2*5
= 2*2*2*2*2*2*2*2*3*5*3*7*9*5
= 4 * 4 * 4 * 4 *3*5*3*7*9*5
= 4^4 *3*5*3*7*9*5
So the highest value of x is 4
+63 
