We all know that 2 is the only even prime number. For the purposes of this probl

ID: 1720612 • Letter: W

Question

We all know that 2 is the only even prime number.

For the purposes of this problem, dene an even-prime" to be an even number that

cannot be factored into smaller even numbers. So for this problem, we say that 10 is

an even-prime," since we cannot write 10 as the product of two even numbers. (This

is not standard terminology!)

For each even number 2 through 40, either declare it to be an even-prime, or write it

as a product of smaller even-primes. At least one number on your list will not have a

unique factorization; find this number

even primes : 2,6,10,14,18,22,26,30,34,38

4 = 2*2

8 = 2*2*2

12 = 2*6

16 = 2*2*2*2

20 = 2*10

24 = 2*2*6

28= 2*14

32 = 2*2*2*2*2

36 = 2*18

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