Are you prime

How many of the following 10 numbers are prime?

1 , 2 3 4 5 , 201 , 202 , 203 , 204 , 205. \begin{array} { l l l l l } 1, & 2 & 3 & 4 & 5, \\ 201, & 202, & 203, & 204, & 205 . \\ \end{array}


The answer is 3.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

13 solutions

Ajay Maity
Dec 1, 2013

First neglect all even numbers except 2, as they are divisible by 2 - so we have {1, 2, 3, 5, 201, 203, 205}. Now remove numbers who have 5 or 0 at its units place except the number 5, as they are divisible by 5 - so we have {1, 2, 3, 5, 201, 203}. Now 1 is neither a prime nor a composite number - so {2, 3, 5, 201, 203}. Now, 201 is divisible by 3, as the sum of its digits is divisible by 3. So we have the set {2, 3, 5, 203}. Finally we get that 203 is divisible by 7, after some checking. So the final set which are prime are {2, 3, 5}. The answer is 3.

nicely solved !!!

Devesh Rai - 7 years, 6 months ago
Lukman Nulhakim
Dec 1, 2013

the answer is 2,3, and 5 because 1 isn't prime 4= 2^2, 201= 3 * 67, 202 = 2 * 101, 203= 7 * 29 , 204 = 2^2 * 3 * 17 ,and 205 = 5 * 41

Rom Balaga
Mar 10, 2014

Prime Numbers only have two divisors:

1 and the number itself

Mohammad Fiyaz
Feb 9, 2014

2 3 5 are the prime number.

Thus only 3 numbers are prime number.

Morgan Psalmonds
Dec 2, 2013

1 is not a prime number, 201 divided by 3 is 67, 202 divided by 2 is 101, 203 divided by 7 is 29, 204 divided by 2 is 102, and 205 is divided by 41. So the only numbers left are 2, 3, and 5. So the answer is 3.

nyc

zohaib khalil - 7 years, 6 months ago

Prime numbers are numbers that can be equally divided by 1 and itself. Just think about the numbers carefully and u will get the answer. U can also check the prime numbers list if u like.

Can you explain your thinking step by step and ensure that all the necessary parts are in?

Calvin Lin Staff - 7 years, 6 months ago

Only 3 i.e. 2,3 and 5 are prime.

Felipe Neto
Dec 1, 2013

Using this list to View Numbers What are cousins​​, we have the following Prime Numbers : 2 , 3 , 5 2,3,5

What do you mean by "cousins"?

Great reference to the list of primes :)

Calvin Lin Staff - 7 years, 6 months ago
Prasun Biswas
Dec 6, 2013

201 is divisible by 3.

202,4 and 204 are divisible by 2.

1 is neither prime nor composite and 205 is divisible by 5.

So, only 2,3,5 are prime nos.

Sahil Dadia
Dec 1, 2013

use the following python code and input the given values in 'n':

n=

c=0 for i in range(2,n+1):
x=n/i

if x in range(1,n+1):
    c=c+1

if c<=1:
    continue
else:
    print('number is not prime')
    break
Vishnudatt Gupta
May 5, 2014

we know 2,3,5 are primes only in given nos

Lakshmi Tumati
Jan 4, 2014

Prime numbers are numbers whose only factors are one and itself. 1 isn't prime because it only has itself as a factor, 2 is prime, 3 is prime, 4 is composite, 5 is prime, 201 is composite, 202 is composite, 203 is composite, 204 is composite, and 205 is composite. That leaves us with 3 prime numbers. The correct answer is 3.

Israel Smith
Dec 18, 2013

Anyone?

2 is the only even prime number 0 and 1 is not considered a prime number , 3 and 5..

Jemay Dedumo - 7 years, 5 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...