Question

5. How will you show that (17 x 11 x 2) + (17 x 11 x 5) is a composite number?
Explain.
​

Answer 1

Answer:

Step-by-step explanation:

Sol : ( 17 x 11 x 2 ) + ( 17 x 11 x 5 )

By taking ( 17 x 11 ) common ,

= ( 17 x 11 ) ( 2 + 5 )

= ( 17 x 11 ) ( 7 )

= 17 x 11 x 7.

If any number can be represented in the form of product of prime numbers then that number is composite number.

Hence , ( 17 x 11 x 2 ) + ( 17 x 11 x 5 ) is a composite number.

Answer 2

Given :   (17 x 11 x 2) + (17 x 1

1 x 5) is a composite  number  

To Find :  How will you show

Solution:

(17 x 11 x 2) + (17 x 1

1 x 5)

(17 x 11 x 2)  =(17 x 11) x 2

(17 x 1

1 x 5) = (17 x 11) x 5

= (17 x 11) x 2  +  (17 x 11) x 5

= (17 x 11) x  ( 2 + 5)

=  (17 x 11) x 7

= 17 x 11 x 7

more than 2 factors  hence Composite number

Numbers having more than two factor are known as composite numbers

Composite number is an integer which has atleast one factor other than 1 & number it self.

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