The product could have been written as
201*203*205*...*399
and since we only need the last two digits
(1*3*5*...*99)*(1*3*5*...*99)
In each of the parentheses, since there is a factor of 5 and all odd numbers, the last digit will be 5. Also since there is a factor of 25, the last two digits will be either 25 or 75.
ach of the parentheses are the same so it does matter which: 25^2 and 75^2 both end in 25.
The tens digit is 2.
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Posted by Jer
on 2025-05-12 07:52:42 |