highest exponent of 16 in 80!
SparshGupta:
hi
the answer will be 78
sorry
78/3 = 26
26 is right answer
am i right
sorry it is 19
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hello,
16 = 2⁴
and in 80! = There are
[ 80/2 ] + [ 80/2² ] + [ 80/2³ ] + [ 80/2⁴ ] + [ 80/2^5 ] + [ 80/2^6 ]
= 40 + 20 + 10 + 5 + 2 + 1 = 78.
where [] are function of integration.
So 80! contains 2^78 = 16^19
16 = 2⁴
and in 80! = There are
[ 80/2 ] + [ 80/2² ] + [ 80/2³ ] + [ 80/2⁴ ] + [ 80/2^5 ] + [ 80/2^6 ]
= 40 + 20 + 10 + 5 + 2 + 1 = 78.
where [] are function of integration.
So 80! contains 2^78 = 16^19
what is this box
This give value as integer not in decimal
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