Factorial as product of primes?

Would someone be so kind as to explain to me how to get 40! as a product of primes?

(like 2^a 3^b 5^c etc...)

Comments

  • It's not terribly hard, but involved a lot of busy work. Start by writing the prime factorization integers 2-40. For instance:

    40 = 2^3 * 5

    39 = 3 * 13

    ...

    Then multiply all the factors together. That means adding the exponents of all the primes.

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