Question

Is 7×6×5×4×3×2×1+5 a composite number ? Justify your answer

Answer 1

SOLUTION:


7× 6 × 5 × 4 × 3 × 2 × 1+ 5


= 5040 +5=5045


= 5045 = 5×1009


We know that a number is called a composite number if it has at least one factor other than 1 and the number itself.


Here, 5045 is the product of  2 prime factors 5 and 1009 .


Hence,7× 6 × 5 × 4 × 3 × 2 × 1+ 5 is  a composite number.



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Answer 2

7×6×5×4×3×2×1+5 is a composite no.
5(7×6×4×3×2×1×+1)
5(1008+1)
5(1009)
1009 cannot be factorized further so, given expression has 5 and 1009 as it's factor so it is a composite no.




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