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Maths Puzzle
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What is the number of zeros at the end of the product of the numbers from 1 to 100?
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- For finding zeros at the end of 100!,
formula is 100/5+100/5^2 = 20+4=24
because each factor of 5 contributes one zero (100/4), and 25's contribute 2 factors of 5 so we need to make sure we don't miss that extra 5's contribution (100/25).
- 13 years agoHelpfull: Yes(27) No(8)
- Multiplication by 10=11
Multiplication by 5=11
and 1*100=100=>2
Adding we get '24' - 13 years agoHelpfull: Yes(14) No(8)
- for 10!
10/5 =2 zeroes
for 100!
100/5 + 100/25 + 100/125 = 20+4+0 = 24
here denominator increases as 5 square , 5 cube and so on...
as 125>100 then neglect it
like wise for 200!
200/5+ 200/25 + 200/125 +200/652 = 40+8+1+0 = 49
dont consider decimal values - 10 years agoHelpfull: Yes(4) No(0)
- 1*2*3*4*....*10...*20.....*100=_ _ _ ......_ _ 00000000000
11 zeroes - 13 years agoHelpfull: Yes(3) No(24)
- @Sanjeev
sir you counted multiplication by =11 which includes 100 also...
then how we recount 1*100 again sir? - 12 years agoHelpfull: Yes(3) No(2)
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