Question

any
number n.
4. Explain why 7. 11. x 13+13 and 7 x 6 x 5 x 4 x 3 x 2 x 1 + 5 are composite
numbers.​

Answer 1

Step-by-step explanation:

If you take 7×11×13+13 Here 13 is common bring that 13outside then you will get like this.

=13[7×11×1+1]

=13[77+1]

=13[78]

=13×78

= 1014 Which is a composite number.

Then take 7×6×5×4×3×2×1+5.

Here 5 is common bring the 5 outside then you will get.

=5[7×6×1×4×3×2×1+1]

= 5[42×4×6+1]

=5[168×6+1]

=5[1008+1]

=5[1009]

=5045. Hence it is a composite number...

First of all what is composite number??

Ans: A composite number is a positive integer which is not a prime.( i.e., which has factors other than 1 and itself).

Answer 2

Answer:

We have,

7×11×13+13

=13(7×11×1+1)

=13×78

=13×3×2×13

Hence, it is a composite number .

We have,

7×6×5×4×3×2×1+5

=5(7×6×4×3×2×1+1)

=5(1008+1)

=5×1009

Hence, it is a composite number .