If a,b,c,d are four distinct natural numbers.each of which has exactly five factors, can we determine the number of factors of the product of a,b,c and d?
This is the solution given the in the back of the book I am reading. Does not make sense to me.
If a, b, c and d have five factors each , they are all the fourth powers of prime numbers. Hence their product will have a total of (4+1)(4+1)(4+1)(4+1) = 625 factors.
Ans : 625