Hi, I really need help at umm prime factorization....uhh i think its like using exponents, so yeah... 36 , 81 , 65 , 19 , 24 , 18 , 40 , 75 , 27 , 32 , 49 , 25 , 42 , 104 , 55 , and 77
PLEASE HELP IF YOU CAN
Here's an example, I will keep reducing my factors until they are prime. Once this is done I put them into index form
$\displaystyle 36 = 6\times 6 = (3\times 2)\times (3 \times 2) = 3^2\times 2^2$
Index form works as follows
$\displaystyle a\times a = a^2$
$\displaystyle a\times a \times a = a^3$
$\displaystyle a\times a \times a \times a= a^4$
and so on...
My first post in this thread is doing exactly what you are after, study it.
Here is another example
$\displaystyle 81 = 9\times 9 = (3\times 3) \times (3\times 3) = 3^4$
I made 81 into factors of 9, then the 9s into factors of 3.
As I had $\displaystyle (3\times 3) \times (3\times 3) $ I could say that was $\displaystyle 3^4$