Question

Show that every positive integer can be written as the product of a square (possibly 1) and a square-free integer. (a square-free integer is an integer that is not divisible by any perfect squares other than one). Can some one prove this and also do an example? Like the integer 36

Answer 1

36= 6^2
But here we dont have any square -free integer.
So, looks like the statement is FALSE

Answer 2

thanks for you

Answer 3

welcome