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(#M40157018) CAMPUS DRIVE Numerical Ability question HIGHEST POWER Keep an EYE

HIGHEST POWER OF 6 IN 200!

Asked In CAMPUS DRIVE keerthana (8 years ago)

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Read Solution (2) :

  (7 years ago)

step 1:Factorize the number into primes
so,
6=2*3;
step 2: find the highest power of all the prime numbers(2,3) in that factorial using the below method,


200/2+ 200/2^2+ 200/2^3 + 200/2^4 + 200/2^5 +200/2^6= 100+50+25 +12 +6+3=196

now,find for 3

200/3+200/3^2+200/3^3 + 200/3^4 =66+22+7+2 =97

take the least power, 97


thus the answer is 97.

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kirti  (4 years ago)

Here 6 is a composite Number. Hence we have to factorize it.
The factors of 6=2*3
Now we can find out the no. of 2's and 3's in 200! then find the least power between the two(2 and 3)
So to find out the no. of 2's in 200 the shortest trick is to divide the answer obtained by 2 until the answer becomes

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