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Write the prime factorization of the integer.$left(frac{3}{5} div 3ight)-left(6 cdot frac{4}{8}ight)$...

Question

Write the prime factorization of the integer.$left(frac{3}{5} div 3ight)-left(6 cdot frac{4}{8}ight)$

Write the prime factorization of the integer.$left(frac{3}{5} div 3 ight)-left(6 cdot frac{4}{8} ight)$



Answers

Write the prime factorization of the number if it is not a prime. If the number is a prime, write prime. 18

I wanted. I don't Brian Factory ization of 64. So 64 is an even number. So 64 Eastern time something. So let's divide 64 by two to see what the other factor is. So when you divide 64 by two, you will see that 64 is two times 32 now 32 is even again. So 32 is two games something So what is the very touch? It'll vato to get the other fact Good. So as you can see, 32 is two times 16 No, Stuart 16 in store dames it it is again even on. And if you remember the table of two, you will see that it is two times for No. Four is again even in fact, it is two times two So So you get for a store chains toe No, you have only factor. You have only two s factors and two is a prime. So you cannot freight this down for the so 64 is two games or two to the power off. 123456 So 60 40 stories to the power of six

So if I want to find the number that gives gives this prime factor ization, that's basically all I have to do is actually just multiply these out. So, true to the six is 64 then five to the six is going to give me 15,625. So if I multiply that by three and by 64 that's gonna give me three million.

To find a prime factor ization. I'd like to use a factor tree and our factor Trees might look different, but in the end we should get the same results. So I'm going to factor eight into four times two and then I'm going to factor for into two times two. Now all we have are primes. 22 and two. So the prime factory ization of eight is two to the third power.

To find a prime factories ation. I like to make a factor tree, and even if our factor trees look different, they should have the same end result. So 600 can be factored into 20 times. 30 20 can be factored into 4/10 5 30 can be factored into three times 10. Four can be factored into two times two and 10 can be factored into two times five. So all the ends of the branches are primes. So let's see what we have. We have a tu a Tu a Tu so that would be too cubed. We have a three, so times three and we have a five and five, so times five squared.


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