Find the number of positive integers that divide (10)^999 but not (10)^998.
10^999=(2)^999 *(5)^999
one integer that divides 10^999 but not 10^998 is 10^999
also other integers are as follows
first set:-> 2^999, 2^999 *5, 2^999 * 5^2, ......., 2^999 * 5^998 so all these are 999 in number
second set:-> 5^999, 5^999 *2, 5^999* 2^2,......,5^999*2^998 all these are 999 in number.
thus total numbers are 999+999+1= 1999 integers.
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