if n is the smallest integer such that 864 times n is the square of an integer , what is the value of n ?
"865 can written as = 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3 - - > 2 ^ 5 * 3 ^ 3 - - - ( 1 ) so for 864 * n to be a square of an integer , the integer should have even powers to the prime numbers it composed of . here 2 already has even power - > so n has to be 3 to make the power of 3 in ( 1 ) even option b is correct"
divide(divide(divide(divide(divide(divide(864, const_2), const_2), const_2), const_2), const_3), const_3)