Question

Explain7×6×5×4×3×2×1+5 is composite number

Answer 1

HEY ❤️

Consider 7×6×5×4×3×2×1+5

$= 5(7 \times 6 \times 4 \times 3 \times 2 \times 1 + 1) \\ \\ = 5(1008 + 1) \\ \\ = 5 \times 1009$

THEREFORE 5×1009 is a composite number.

Since, according to fundamental theorem of arithmetic, every composite number can be expressed as the product of powers of primes and their factorization is unique, except for the order in which the prime factors occur.

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Answer 2

Answer:

Step-by-step explanation:

Composite Number: number having factors other than one and the number itself

So we need to prove that this number more than two factors.

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

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

=> 5(1009) *1

Thus, this number has 5,1009 , 1 and the number itself as factors

Hence, it is a composite number .