To find the number of 3's in 100!
we can use the below formula,
100/3+100/9+100/27+100/81[Take only the quotient]
=33+11+3+1=48
=3^48
how to solve these ps question
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Source: Beat The GMAT — Problem Solving |
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kvcpk
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Divide 100 by powers of 3 to get the exponent of 3 in 100!aarati wrote:Find the exponent of 3 in 100!.
please help me to solve it............
100/3 = 33
100/9 = 11
100/27 = 3
100/81 = 1
Hence exponent of 3 = 33+11+3+1 = 48
Hope this helps!!
thank u very much .......i understood how to solve it.......you are simple great........kvcpk wrote:Divide 100 by powers of 3 to get the exponent of 3 in 100!aarati wrote:Find the exponent of 3 in 100!.
please help me to solve it............
100/3 = 33
100/9 = 11
100/27 = 3
100/81 = 1
Hence exponent of 3 = 33+11+3+1 = 48
Hope this helps!!
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rahul goyal
- Junior | Next Rank: 30 Posts
- Posts: 18
- Joined: Thu Aug 05, 2010 3:44 am
Thanks. What is OA.aarati wrote:thank u very much .......i understood how to solve it.......you are simple great........kvcpk wrote:Divide 100 by powers of 3 to get the exponent of 3 in 100!aarati wrote:Find the exponent of 3 in 100!.
please help me to solve it............
100/3 = 33
100/9 = 11
100/27 = 3
100/81 = 1
Hence exponent of 3 = 33+11+3+1 = 48
Hope this helps!!
rahul goyal wrote:Thanks. What is OA.aarati wrote:thank u very much .......i understood how to solve it.......you are simple great........kvcpk wrote:Divide 100 by powers of 3 to get the exponent of 3 in 100!aarati wrote:Find the exponent of 3 in 100!.
please help me to solve it............
100/3 = 33
100/9 = 11
100/27 = 3
100/81 = 1
Hence exponent of 3 = 33+11+3+1 = 48
Hope this helps!!
OA is 48..it is explained above...
