How many non prime numbers less than 200 which are not divisible by 2 3 4 5 6 7 8 9 12?
Answers
Given : non prime numbers less than 200
To Find : How many are not divisible by 2 ,3, 4 ,5 ,6, 7, 8 ,9 , 12
Solution:
non prime numbers less than 200
they are not divisible by 2 ,3, 4 ,5 ,6, 7, 8 ,9 , 12
Hence smallest factor is 11 as 10 can not be factor as 10 = 2 x 5
18 < 200/11
Hence all factors must lie between 11 and 18
12 , 14 , 15 , 16 , 18 are neglected as they are either divisible by 2 or 3
Hence Only possible factors are 11 , 13 , 17 ,
11 x 11 = 121
11 x 13 = 143
11 x 17 = 187
13 x 13 = 169
13 x 17 = 221 > 200
17 x 17 = 289 > 200
less than 200 which are not divisible by 2 3 4 5 6 7 8 9 12
121 , 143 , 169 , 187
4 non prime numbers less than 200 which are not divisible by 2 3 4 5 6 7 8 9 12
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