Question

how will you show that (17×11×2)+(17×11×5)is a composite number? explain

Answer 1

(17×11×2)+(17×11×5)=(187×2)+(187×5)
=374+935
=1309
Now,
By prime factorisation method,
1309=17×11×7
As we can see that 1309 has 17, 11 and 7 as it's prime factors other than 1 and itself.
Thus, 1309 is a composite number.

Hope this helps you!

Answer 2

(17×11×2)+(17×11×5)=(187×2)+(187×5)

=374+935

=1309

By prime factorization method,

1309=17×11×7

As we can see that 1309 has 17, 11 and 7 as it's prime factors other than 1 and itself.

Thus, 1309 is a composite number