Find the smallest positive integer such that the product of its digits is 60.
+2668 The prime factorization of 60 is: 22×5×3.
The largest single-digit factor of 60 is 6. This will be our unit digit.
This means the remaining numbers must multiply out to 10, which means we need a 2 and 5.
Now, what's the smallest number possible with these 3 digits?
+2668 The prime factorization of 60 is: 22×5×3.
The largest single-digit factor of 60 is 6. This will be our unit digit.
This means the remaining numbers must multiply out to 10, which means we need a 2 and 5.
Now, what's the smallest number possible with these 3 digits?
