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Prime Factorizations

Here's one more and I'm just going to work straight through:

Find the prime factorization of 34,200.
(Yikes, that's big!  Don't worry!  Just stick with the plan!)


34200 / 2 = 17100 / 2 = 8550 / 2 = 4275 / 3 = 1425 / 3 = 475 / 5 = 95 / 5 = 19 ... Use the divisibility test for 3 on 4275 ... 19 is prime... STOP!

 

34,200 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 19

34,200 = 2^3 x 3^2 x 5^2 x 19

 

Remember that you can always check your answers on a calculator!

 

TRY IT:

Use factor stacks to find the prime factorizations of


32
 

189
 

750
 

20,790