what is the greatest value of positive integer x such that 2 ^ x is a factor of 100 ^ 60 ?
"put in simple words , we need to find the highest power of 2 in 100 ^ 60 100 = 2 ^ 2 * 5 ^ 2 therefore 100 ^ 60 = ( 2 ^ 2 * 5 ^ 2 ) ^ 60 = 2 ^ 120 * 5 ^ 120 answer : c"
subtract(100, subtract(power(2, divide(100, 60)), const_1))