5040 is Product of Consecutive Numbers in Two Ways

Theorem

 * $5040 = 7 \times 6 \times 5 \times 4 \times 3 \times 2 = 10 \times 9 \times 8 \times 7$

Proof
Follows from Factorial as Product of Two Factorials:
 * $10! = 6! \times 7!$

and so:
 * $\dfrac {10!} {6!} = 10 \times 9 \times 8 \times 7 = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1$

Hence the result.