Question

Which of the following is a prime number?

• A. $370261$
• B. $1003$
• C. $73271$
• D. $667$

Answer 1

Answer: (A)

The number $1003,73271$ and $667$ are respectively divisible by $17,11$ and $29$ and the number $370261$ have no factor.
(i) $1003=17\times 59$
(ii) $667=23\times 29$
(iii) $73271=(7+2+1)-(3+7)-10-10=0$
As difference of the sum of the number exist at odd and even places is divisible by $11$.