Question

explain why 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite numbers​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Yes,it is composite number.

Step-by-step explanation:

Number are two types-prime and composite.Prime numbers can be divided by 1 and only itself,whereas composite numbers have factors other than 1 and itself.

It can be observed that

$7\times11\times13+13=13\times(7\times11+1)=13\times(77+1)\\=13\times78\\=13\times13\times6$

The given expression expression has 6 and 13 as its factors.Therefore,it is a composite number.

$7\times6\times5\times4\times3\times2\times1+5=5\times(7\times6\times4\times3\times2\times1+1)\\=5\times(1008+1)\\=5\times1009$

1009 cannot be factorised further.Therefore,the given expression has 5 and 1009 as its factors.Hence,it is a composite number.