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Find the prime factorization of the following number 252?​

User Adarsh
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2 Answers

15 votes
15 votes

Answer:

2,3,7 are the prime factorization of number of 252

User Evanescence
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7 votes
7 votes

Hi Student!

Prime factorization is the process of stripping down a number to it's basic elements. We take a number and bring it down the most we can. For example we take 4 and make it 2 x 2. In this case we are given a number of 252 so we can began by dividing by 2.


252 / 2


126

Looking at the numbers that we have now, 126 x 2, we can see that 126 can still be divisible by another 2 so lets do that again.


126 / 2


63

Now, looking at the numbers that we have, 63 x 2 x 2, we see that we can no longer divide it by a 2 because 63 is not divisible by 2. However, we can divide 3 away from the number so lets do that.


63 / 3


21

Once again, looking at the numbers that we have, 21 x 3 x 2 x 2, we see that we can once again divide a 3 away from our first number so lets do that again.


21 / 3


7

Finally, we have come down to the last line where our final elements are 7 x 3 x 3 x 2 x 2. This is our prime factorization of the number 252 and this is where we can conclude our solution seeking.

User IliasT
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