Why are the following numbers composite? Explain.
a. 7 x 11 x 17 +17
b. 7x6x5x4x3x2x1+5
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Why are the following numbers composite? Explain.
a. 7 x 11 x 17 +17
b. 7x6x5x4x3x2x1+5
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Answer: Both are composite numbers.
Step-by-step explanation: we will take a common number:-
7x11x17+17
Hence, 17 is common on the above number:-
17 ( 7x11+1) we take the 17 outside.
17 ( 78)
7x11x17+17 = 95
7x6x5x4x3x2x1+5
hence, 5 is common on the above number:-
5( 7x6x4x3x2x1+1)
5(1009)
7x6x5x4x3x2x1+5 = 5045
therefore, 95 and 5045 have more than two factors.
so, they are composite numbers.