Question

How many non-prime numbers less than 200 are possible, such that they are not divisible by
2,3,4,5,7,8,12,14?
Write Your Answer Here: -

Answer 1

Answer :

1, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 51, 53, 59, 61, 67,69, 71, 73, 79, 83, 87, 89, 91,97,.... Step-by-step explanation: see the last digit and solve it easily.

Answer 2

The non-prime numbers less than 200 and not divisible by 2,3,4,5,7,8,12,14 are 121, 143, 169, and 187.

Given,

Non-prime numbers less than 200.

To Find,

Non-prime numbers less than 200 and not divisible by 2,3,4,5,7,8,12,14.

Solution,

⇒Nonprime numbers between 1-100 are 74.

⇒The smallest factor is 11 as 10 cannot be a factor because it is divisible by 2 and 5.

Hence all factors must lie between 11 and 18.From this 12,14,15,16,18 are left out because it is divisible by 2,3,4,5,7,8,12,14.

Only the possible nonprime numbers are as follows:

11×11=121

11×13=143

11×17=187

13×13=169

13×17=221 >200

17×17=289>200

Hence,

⇒Nonprime numbers that are less than 200 which are not divisible by 2,3,4,5,7,8,12,14 are 121, 143, 169, and 187.

There are 4 nonprime numbers.

The non-prime numbers less than 200 and not divisible by 2,3,4,5,7,8,12,14 are 121, 143, 169, and 187.

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