Question

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



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Answer 1

Answer:

Step-by-step explanation:

7×11×13+13 can be written as

13(7×11×1+1) by taking 13 as common.

Now, it means that the whole expression is divisible by 13(by 1 and itself also).

Which make it a composite number

Similarly,

7×6×5×4×3×2×1+5

=7×6×5×4×3×2×6

=6(7×1×5×4×3×3×1)

It is divisible by 6 ( and by 1 and itself also)

Hence it is also composite.

I'm sure it will help

Answer 2

Answer:

7 x 11 x 13 + 13

= (7 x 11 + 1) x 13

= 78 x 13

= 2 x 3 x 132

7 x 6 x 5 x 4 x 3 x 2 x 1 + 5

= (7 x 6 x 4 x 3 x 2 x 1 + 1) x 5

= 5 x 1008

After Solving we observed that both the number are even numbers and the number rule says that we can take atleast two common out of two numbers. So that the number is composite number.