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Folks, I'll tell u how to calculate highest power of a number in any factorial.
Taking the above example 55 = 11x5 Since the highes power of 11 in any factorial will be less than the highest power of 5 it is just enough to calculate highest power of 11 in 274!
I think someone has already suggested a method to calculate highest power.
Let's look at one more way (The logic is same as mentioned earlier)
274/11 = 24 (don't worry about the remainder) 24/11 = 2 Add up now 24+2 = 26 will be the highest power of 11 in 274!
Let's look at one more example. Highest power of 5 in 350! 350/5 = 70 70/5 = 14 14/5 = 2 So 70+14+2 = 86 is the highes power of 5 in 350!. I guess the explanation is lucid _________________
Thanks Cicerone... thats a great and quick way to solve a problem like this... this should help shorten the time to calculate.
Can you post a link relevant to this calculation?
Thanks/
cicerone wrote:
Folks, I'll tell u how to calculate highest power of a number in any factorial.
Taking the above example 55 = 11x5 Since the highes power of 11 in any factorial will be less than the highest power of 5 it is just enough to calculate highest power of 11 in 274!
I think someone has already suggested a method to calculate highest power.
Let's look at one more way (The logic is same as mentioned earlier)
274/11 = 24 (don't worry about the remainder) 24/11 = 2 Add up now 24+2 = 26 will be the highest power of 11 in 274!
Let's look at one more example. Highest power of 5 in 350! 350/5 = 70 70/5 = 14 14/5 = 2 So 70+14+2 = 86 is the highes power of 5 in 350!. I guess the explanation is lucid
Re: What is the largest power of 55 that can divide 274! [#permalink]
03 Dec 2015, 12:56
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