Question

Explain why 13*12*11*10+12 and 23*29*31*37+37 are composite numbers?

Answer 1

We know that,

A composite number is a natural number or a positive integer which has more than two factors

13×12×11×10+12,

It can be written as $=12(13\times 11\times 10+1)$

Here, $12$ is a composite number (because $12=3\times 2\times 2$)

So, the whole number is also a composite number.

Similarly,

$23\times 29\times 31\times 37+37$

It can be written as: $37\times (23\times 29\times 31+1)\times 1$

So, this number also have more than 2 factors.