Which is the prime factorization of forty-five? Choose one answer. a. one times forty-five b. five times nine c. three times fifteen d. three times three times five
Hint: here are the first half-dozen prime numbers: 2,3,5,7,11,13
C???????
45 is not divisible by 2 45 is divisible by 3. After dividing it by 3, what do you have? Is that divisible by 3? How about by 5? 7? 11? 13?
realize that prime numbers can only be divided by 1 or itself. So check: is 9 prime? is 15 prime? is 45 prime? (i.e. can you decompose it into a product of integer numbers)
Any number that ends in 5 or 0 is divisible by 5.
So not c. But i am going to say either B or D
I am not really sure I:
Check: is 9 prime? That is, can you divide 9 by some other number (other than 9 or 1)? If so, then 9 is not prime!
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