Question

Explain why (7  13  11) + 11 and (7  6  5  4  3  2  1) + 3 are composite numbers

Answer 1

(7 × 13 × 11) + 11 = 11 × (7 × 13 + 1)

= 11 × (91 + 1)

= 11 × 92

= 11 × 2 × 2 × 23

(7 × 6 × 5 × 4 × 3 × 2 × 1) + 3

3(7 × 6 × 5 × 4 × 2 × 1 + 1)

3 × (1681)

= 3 × 41 × 41

Given numbers have more than two prime factors.

Hence both number are composite

Answer 2

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