Question

Explain why 47 19 11 + 19 is a composite number?

Answer 1

Given :   47 * 19 * 11  + 19    is a composite number  

To Find :   Explain why

Solution:

a composite number  is a number which have atleast one factor other than number itself and 1.    

47 * 19 * 11  + 19

Taking 19 as common

= 19 ( 47 *  11 +  1)

= 19 k

Hence number is form 19 * k  where 19 and  k  ≠ 1  and  19k

Hence number has atleast 4 factors   , 1 , 19 ,  k , 19k

where k = 47 *  11 +  1

Hence 47 * 19 * 11  + 19    is a composite number  

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