Find the smallest positive integer such that the product of its digits is 60.

Guest Jun 27, 2022

#1**0 **

The prime factorization of 60 is: \(2^2 \times 5 \times 3 \).

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?

BuilderBoi Jun 27, 2022

#1**0 **

Best Answer

The prime factorization of 60 is: \(2^2 \times 5 \times 3 \).

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?

BuilderBoi Jun 27, 2022