Explain why 7 x 11 x 13 + 13 and 7 x6×5× 4 ×3 ×2 ×1 +5 are composite numbers
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By definition,
A composite number is a positive integer that has a factor other than 1 and itself. Now considering your numbers,
7×11×13+13 may be written as, i.e. 13 * (78). So other than 1 and the number itself, 13 and 78 are also the factors of the number. Further, 78= 39 x 2. So, 39 and 2 are also it's factors. So this number is definitely not prime. Hence its composite number.
Similarly, 7×6×5×4×3×2×1+5 can be written as , i.e. 5 * (1009). So, other than the number and 1, it have 5 and 1009 as it's factors too. So it is also a composite number.
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