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Maths Puzzle
50!/(15)^16
what is the remainder
Read Solution (Total 4)
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- 50!=2^47*3^22*5^12*...*47
(15)^16=3^16*5^16
50!/(15)^16=2^47*3^6*...*47/5^4
unit place will be 2^47*3^14*7^12*9/5^4
8*9*1*9/5^4
or 8/5
so remainder will be 3 - 11 years agoHelpfull: Yes(1) No(0)
- 50! has 0 at the unit digit 15 power divisible by it
- 11 years agoHelpfull: Yes(0) No(0)
- zero
because 50! have zero at last digit and 15^16 have 5 at last digit
hence 50!/(15)^16 is completely divisible - 10 years agoHelpfull: Yes(0) No(0)
- zero
because 50! have zero at last digit and 15^16 have 5 at last digit
- 10 years agoHelpfull: Yes(0) No(0)
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