Friday 30 October 2015

elementary number theory - If $p=1cdot 3 cdot 5 cdot 7 cdot 9 cdot ... cdot 2011$, then the units digit of $p$ is five



I know there is a $5$ on the sequence, but i don't know how and why his presence leads to the final units digit of the product.



Answer



Hint: All odd numbers divisible by $5$ end in $5$.


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