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How do you find the prime factorization of 108? - Answers
First, you need to memorize your primes...{2, 3, 5, 7, 11, 13, 17, 19, 23, etc}Secondly, know the trick that you can stop looking when you reach the square root of the number you are searching for (in this case, 11 is too large; 11 x 11 = 121 so 11 could never be a factor of 108.)Then keep dividing by primes, smallest to largest108 =2 x 542 x 2 x 272 x 2 x 3 x 92 x 2 x 3 x 3 x 3and you are done!
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How do you find the prime factorization of 108? - Answers
First, you need to memorize your primes...{2, 3, 5, 7, 11, 13, 17, 19, 23, etc}Secondly, know the trick that you can stop looking when you reach the square root of the number you are searching for (in this case, 11 is too large; 11 x 11 = 121 so 11 could never be a factor of 108.)Then keep dividing by primes, smallest to largest108 =2 x 542 x 2 x 272 x 2 x 3 x 92 x 2 x 3 x 3 x 3and you are done!
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How do you find the prime factorization of 108? - Answers
First, you need to memorize your primes...{2, 3, 5, 7, 11, 13, 17, 19, 23, etc}Secondly, know the trick that you can stop looking when you reach the square root of the number you are searching for (in this case, 11 is too large; 11 x 11 = 121 so 11 could never be a factor of 108.)Then keep dividing by primes, smallest to largest108 =2 x 542 x 2 x 272 x 2 x 3 x 92 x 2 x 3 x 3 x 3and you are done!
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