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प्रश्न
Explain why (7 × 11 × 13 + 2 × 11) is not a prime number.
बेरीज
उत्तर
Simplify the given expression
7 × 11 × 13 + 2 × 11 = 1001 + 22
= 1023
Prime factorisation of 1023 = 3 × 11 × 31
Thus, 1023 is divisible by 3, 11 and 31.
Since, a prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
Therefore, 1023 is not a prime number as it has other divisors other than 1 and itself.
Hence, (7 × 11 × 13+ 2 × 11) is not a prime number.
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