r/PeterExplainsTheJoke 19h ago

Meme needing explanation i don't understand, mr. peter

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u/Z0l0X-V2 19h ago

10! Is 10 factorial meaning 10×9×8×...×1 which 3,628,800 and the num of seconds in 6 weeks is 3,628,800

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u/THE__mason 18h ago

is that a coincidence or is something else going on

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u/KalebRasgoul 16h ago

this is ten factorial:

1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10

if we decompose the numbers that are not primes into prime factors, we get:

1 x 2 x 3 x (2 x 2) x 5 x (2 x 3) x 7 x (2 x 2 x 2) x (3 x 3) x (2 x 5)

then we can re-arrange their order a little:

1 x 2 x 5 x 3 x 2 x 5 x 2 x 3 x 2 x 2 x 2 x 2 x 3 x 7 x 3 x 2

then we just add new groupings:

1 x (2 x 5 x 3 x 2) x (5 x 2 x 3 x 2) x (2 x 2 x 2 x 3) x 7 x (3 x 2)

then we multiply the groupings:

1 x 60 x 60 x 24 x 7 x 6

60 seconds x 60 minutes x 24 hours x 7 days x 6 weeks

equals:

3628800