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find highest power of 2 in 1!+2!+3!+4!...........+600!
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- ans: zer0
unit digit of
1!+2!+3!+4!...........+600! is odd i.e
the given sum gives an odd no. so, there is no factor of 2.
highest power of 2 = 2^0
- 10 years agoHelpfull: Yes(52) No(6)
- ansr is 0.
since every factorial from 2! onwards upto 600! is even and we sum it such that:2!+3!+.......600!=even
now this even+1!=odd (since 1! is odd)
and so odd number has no power of 2 ,hence answer is 0. - 10 years agoHelpfull: Yes(39) No(0)
- 2!=2,3!=6;4!=24;5!=120;6!=120......600! also even number
even+even=even
so 1!=1
add 1 to all the sum it is odd:: so, there is no factor of 2
highest power of 2=0; - 10 years agoHelpfull: Yes(13) No(0)
- Here , sum of 2!+3!+...+600! = 4+6+...+600! = It will give a even no .
But if I add 1! with this then it Will be an odd number.
( 1! ) + (2!+3!+...+600! ) = even + odd = odd .
And also we know that odd no does not contain any 2 .
As we know ( number % 2 == 0)
{
even no ;
}
else
{
odd no;
}
So the sum of 1!+2!+3!+...+600! does not contain any 2 .
So it will be 2^0 . - 10 years agoHelpfull: Yes(4) No(0)
- from 5! onwards last digit will be 0. Therefore we need to check the last digit of 1!+2!+3!+4!=33. Which is odd
Therefore ans is 0 - 10 years agoHelpfull: Yes(2) No(0)
- how u r saying that s odd?
i cant get u..plz explain. - 10 years agoHelpfull: Yes(1) No(0)
- 0 ans
no power of 2
so zero - 10 years agoHelpfull: Yes(0) No(0)
- 2^300..highest power of 2 is 300
- 10 years agoHelpfull: Yes(0) No(1)
- ANS IS 0
UNIT DIGITS SUM IS ODD SO 2^0=0
- 10 years agoHelpfull: Yes(0) No(0)
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