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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
.-

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.

4096 bacteria

step-by-step explanation: