explain why 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite numbers
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1
Answer:
Now consider
7 x 11 x 13 + 13
We can also write this as
⇒ (77 + 1) x 13
⇒ 1014
So the factors are
⇒ 13 x 13 x 3 x 2
It is a composite number. The given number has more than two factors.
Now consider
7 x 6 x 5 x 4 x 3 x 2 x 1 + 5
We can also write it as
⇒ 5(7 x 6 x 5 x 4 x 3 x 2 x 1 + 1)
By calculation we get
⇒ 1009 x 5
It is a composite number. The given number has more than two factors.
Hence proved.
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