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

 Jun 27, 2022

Best Answer 

 #1
avatar+2222 
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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?

 Jun 27, 2022
 #1
avatar+2222 
+1
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

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