Question

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Q) Show that 7! is divisible by 2⁴.​

Answer 1

Step-by-step explanation:

7! = 7×6×5×4×3×2×1

7! = 7×(2×3)×2²×3×2×1

7! = 7×3×3×2×2²×2×1

7! = 7×3²×2⁴×1

Here I have just expressed 6 as 2×3 and 4 as 2². So I got 2⁴.

Now since 2⁴ is a factor of 7! , 7! is divisible by 2⁴.

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