Question

Explain why 7×11×13+13 is a composite number

Answer 1

Hry mate here is your answer,
7×11×13+13 may be written as, 13x{(7x11) + 1} i.e. 13x(78). So other than 1 and the number itself, 13 and 78 are also the factors of the number. Further, 78=39x2. So, 39 and 2 are also it's factors. So this number is definitely not prime. Hence its composite number.

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Answer 2

We have,7×11×13+13=1001+13=1014.

Now,1014=2×3×13×13.

Thus,it is the product of prime factors.

Hence,7×11×13+13 is a composite number.