Explain why 7 x 11 x 13+13 and 7 * 6* 5 * 4 * 3 * 2 x 1 +5 are composite numbers.
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1st case
7*11*13+13 = 13(7*11+1) = 13*78 = 13*2*3*13
Since it has more than two prime factors, it is a composite number.
Similarly,
2nd case
7*6*5*4*3*2*1+5 = 5(7*6*4*3*2*1+1) = 5*1009
Since it has more than two prime factors, it is a composite number.
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