Question

explain why (17*11*2+7*11*5) is a composite number

Answer 1

17×11×2+7×11×5=11(17×2+7×5)
=11(34+35)
=11×69
69 has more than two factors so 11×17×2+11×7×5 is a composite number

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.