Question

Find whether5×7×11×13+11 is prime or composite

Answer 1

Answer: It is a composite Number

Step-by-step explanation:

We see,

5×7×11×13+11

--> 11( 5*7*13 +1)

--> 11( 456)

It is clearly visible that if we take 11 as common in the two terms( distributive property) 11*456 is obtained.

We know, for a no. to be composite it must have more than two factors. Clearly, 11*456 has more than two factors( these two factors are 1 and the no. itself).

We can see that 11 is a factor of 456*11.

Hence, we can see that this no. has more factors than 2, this implies it is composite.