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99! how many zero's?
Read Solution (Total 8)
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- 99!=99/5=19
=19/5=3
so 99! has (19+3=22 zeroes) - 8 years agoHelpfull: Yes(28) No(3)
- The answer is 22.
We get 0 from 90,80, 70,60,40,30,20,10=8
now as 50 when multiplied by even no gives two zero. so now the sum is equal to 10
now 95, 85, 65,55,45,35,15,5=8 gives zero when multiplied by even no
now 75, 25 can gives 2 zero each when multplied by even no(4)= 4
so the sum is 8+2+8+4=22 - 8 years agoHelpfull: Yes(12) No(0)
- no. of zero's means check what are the total no. of factors of 2 and 5 when no. is divided by both....consider lowest no. of factors
i.e. 99/2=49,,,,49/2=24,,,,24/2=12,,,,12/2=6,,,,6/2=3,,,3/2=1.....therefore total no. of factors of 2=49+24+12+6+3+1=95
now 99/5=19,,,19/5=3.....therefore total no. of factors =19+3=22
now take lowest one....so 22 no. of zero's in 99! - 8 years agoHelpfull: Yes(9) No(0)
- 21
(99/5)+(99/25) - 8 years agoHelpfull: Yes(3) No(5)
- Here is a simple trick to calculate number of zero's
The number's of 5= (99/5+99/25)taking the only quotient= 19+3=22 - 6 years agoHelpfull: Yes(3) No(0)
- To find the num of zeros we need to find num of fives first.
Then num of zeros is 99/5^1 + 99/5^2 + 99/5^3 =19+3+0=22 - 8 years agoHelpfull: Yes(2) No(3)
- Ans=95
as only the first 4 factorial haven't the zero in unit value - 8 years agoHelpfull: Yes(0) No(12)
- 29 is right
- 7 years agoHelpfull: Yes(0) No(4)
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