Question

Q. 6. 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.
Solution.
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Answer 1

Answer:

they are composite no. because they have more than two factors

Step-by-step explanation:

=7*11*13+13

=13(7*11*1 +1)

=1*13*78

and

=7*6*5*4*3*2*1+5

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

=1*5*1009

They have more than two factors

Answer 2

Answer:

Given 7×11×13+13

=13×(7×11+1)=3×78

This number is multiple of two integers.Hence it has more than two factors.Hence it is a composite number.

similarly in

7×6×5×4×3 ×2×1+5

=5(7×6×4×3 ×2×1+1)=5×1009

This number is multiple of two integers.Hence it has more than two factors.Hence it is a composite number.