Question

Explain why 7*11*13*17*+17 and 7*6*5*4*3*2*1*+5 are composite number.

Answer 1

Answer:

Step-by-step explanation:

7*11*13*17+17

17(77*13+1)

17(1001+1)

17(1002)

Clearly it has more than two factors which are 1,2,3 etc

Thus it is composite

7*6*5*4*3*2*1+5

5(42*24+1)

5(1008+1)

5(1009)

Clearly is has factors 1009 and 5

Hence it is composite

Answer 2

Step-by-step explanation:

We have,

→ ( 17 × 11 × 2 ) + ( 17 × 11 × 5 ) .

= ( 17 × 11) ( 2 + 5 ).

== ( 17 × 11 × 7 ) = x [ Let ].

Thus, the number x has 3 factors i.e., 17 × 11 × 7.

And, we know that composite numbers are those numbers who have more than 2 factors.

Therefore, the number x is a composite number as it has 3 factors.

Hence, it is solved.