# Math

posted by Princess

A number is written with the following factorization: 22 X 3 X 54 X 8 X 112. Is this factorization a prime
factorization? Explain why or why not. If it is not correct, give the correct prime factorization of the
number.

1. Princess

I didn't know

2. anime lover

hopefully i am right...
No it is not correct because 22,54,8 and 112 aren't prime numbers

3. Princess

OK but why

4. Steve

so, to get the correct factorization, factor all the non-primes:

22 * 3 * 54 * 8 * 112
= 2*11*3*2*3^3*2^3*2^4*7
= 2^9 * 3^4 * 7 * 11

5. Princess

come on

6. Princess

so OK

7. Princess

Explain why or why not. If it is not correct, give the correct prime factorization of the
number.

8. Princess

how to Explain why or why not. If it is not correct, give the correct prime factorization of the
number.

9. Steve

all of the questions you keep asking have been answered above. I think you need to review what it means to be prime.

10. Princess

come on

11. Princess

OK bye

12. Damon

Look Princess, we went through this when you were trying to simplify fractions.

22 for example is 2 * 11
2 and 11 can not be factored any further. They are "prime"

then 44 = 2 * 22
that is NOT Enough (not prime factors)
because 22 can be factored as we know
so
44 = 2 * 2 * 11 that does it

now 2*2 is often written as two to the power two
or
2 * 2 = 2^2

so
44 = 2^2 * 11

13. Anonymous

I need help too

14. foxie/wolfie

i need help to

15. robot189

This is not a prime factorization.  2 is prime, so is 3, and 5, as well as 11, but 8 is not prime.  8 can be broken down into 2^3.
Plug this back in. 2^2 x 3 x 5^4 x 2^3 x 11^2=2^5 x 3 x 5^4 x 11^2

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