) Find all prime numbers that divide 40! (recall that 40! = 1 · 2 · 3 · 4 · · · 40). (b) Find the prime factorization of the integers 1234; 10,140; and 36,000.

a)

b) Prime factorization

Step-by-step explanation:

a) prime numbers that divide 40!

Thus, the prime number that divides 40! are all the prime number from 1 to 40.

Prime numbers that divide 40! =

b) Prime factorization:

It is the process of expressing the composite number as a product of prime numbers.

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step-by-step explanation: