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Question

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

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Solution

Consider,

7 x 11 x l3 + 13

= 13 × (7 x 11 + 1)

= 13 × (77+1)

=13 × 78

7 ×11 ×13 + 13 = 2 × 3×13 ×13

By fundamental theorem of Arithmetic, 'every composite number can be expressed (factorised) as a product of primes'

2×3×132 is a composite number.

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