6. Explain why 7 x 11 * 13 + 13 and 7*6*5*4*3*2*1+5 are composite numbers.
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Answer:
1. 7 × 11 × 13 + 13
13(7 × 11 + 1)
13(77 + 1)
13(78)
so 13 and 78 are the factors of given number besides 1
and that number itself. so composite number.
2. 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5
5(7 × 6 × 4 × 3 × 2 × 1 + 1)
5(1008 + 1)
5(1009)
so 5 and 1009 are factors besides 1 and number itself so it is a composite number
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