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For Exercises 5-13, write the prime factorization of each number in

expanded form.

5. 36

6. 180

7. 525

8. 165

9. 293

10. 760

11. 216

12. 231

13. 312

2011

at 10

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See below.

Step-by-step explanation:

If the number is even you divide by 2, if it is odd you try by the next prime number 3, the 5 and so on, so:

5. 36:-

36 / 2 = 18

18/2 = 9

9 / 3 = 3

We finish on the prime number 3.

So the prime factors are (the numbers in bold) = 2*2*3*3.

I'll do the next 3 for you, so you'll be able to do the rest on your own:

6. 180

180 / 2 = 90, 90 / 2 = 45, 45 / 3 = 15, 15/3 = 5.

So 180 = 2*2*3*3*5.

7. 525

525 / 3 = 175, 175 / 5 = 35, 35 / 5 = 7.

So 525 = 3*5*5*7.

8. 165

165 / 3 = 55, 55/5 = 11.

So 165 = 3*5*11.