Is it just a coincidence that 10! = 3! · 5! · 7! and 6! = 3! · 5! or are factorials somehow related to primes in terms of prime factorial factors?
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1How about you take a look at this question? – Hungry Blue Dev Nov 19 '16 at 20:42
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Thanks a lot, I will have a look at it. – David Nov 19 '16 at 21:03
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It doesn't quite answer my question unfortunately. – David Nov 19 '16 at 21:11
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1Well, $10! = 1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10$. So just $3! \times 5!$ falls short in part because it lacks $7$. – Mr. Brooks Nov 19 '16 at 22:40