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Which of the following is prime number 703, 731, 797, 729

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Answer
    797 is Prime number
Explanation

What is a prime number?
A number is greater than 1 is called a prime number, if it has only two factors, 1 and the number itself.

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  • * 703 is divisible by 1, 703. During keep checking of 703 is not divisible by 2, 3, 5, 7, 11, 13, 17 but 703 is divisble by 19. So 703 has more than two factors therefore 703 is not prime number.

    * 729 is divisible by 1, 729 also divisible by 3. No need to check further because 729 is divisible by 3. Now 729 has more than two factores therefore 729 is not prime number

    * 797 is divisible by only 1, 797
    797 is prime number.
    

    * 771 is divisible by 1, 771 also divisible by 3. No need to check further because 771 is divisible by 3 so it is not prime number

    797 is only prime number.
    

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    NUMBERING SYSTEM (MATH SHORTCUT TRICKS)

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