Playing with numbers – quickies


The next two problems are variants of easy problems from the Dutch 2008 Mathematics Olympiad.
1) 2016*
What is the smallest integer number that, when multiplying its digits, gives 2016?

2) Odd numbers *
Multiply all numbers between 1913 and 2012 (including 1913 and 2012). What is the last digit of the product?

You can check your solutions at 16 and 26 respectively.

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