what is the prime power factorization?
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Prime Factorization. "Prime Factorization" is finding which prime numbers multiply together to make the original number.
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The prime factorization of 64 is: 2 x 2 x 2 x 2 x 2 x 2. The prime factors and multiplicities 16 and 64 have in common are: 2 x 2 x 2 x 2. 2 x 2 x 2 x 2 is the gcf of 16 and 64. gcf(16,64) = 16.
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Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80. Prime factorization: 80 = 2 x 2 x 2 x 2 x 5 which can also be written 80 = 2⁴ x 5.
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Prime Factorization is very important to people who try to make (or break) secret codes based on numbers. That is because factoring very large numbers is very hard, and can take computers a long time to do. If you want to know more, the subject is "encryption" or "cryptography".
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When n is a prime number, the prime factorization is just n itself, written in bold below. The number 1 is called a unit. It has no prime factors and is neither prime nor composite.
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Answer and Explanation: The prime factorization of 675 is 3 × 3 × 3 × 5 × 5. The factors of a number, x, are the numbers that multiply together to...
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In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers. If these factors are further restricted to prime numbers, the process is called prime factorization. ... Not all numbers of a given length are equally hard to factor.
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A prime number is a number whose only factors are 1 and itself. A factor tree is a tool that breaks down any number into its prime factors. A certain number's prime factorization is the list of prime numbers or prime factors that you would multiply together to create that certain number.
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['The prime factorization of 28 is: 2 x 2 x 7.', 'The prime factorization of 72 is: 2 x 2 x 2 x 3 x 3.', 'The prime factors and multiplicities 28 and 72 have in common are: 2 x 2.', '2 x 2 is the gcf of 28 and 72.', 'gcf(28,72) = 4.']
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['The prime factorization of 40 is: 2 x 2 x 2 x 5.', 'The prime factorization of 63 is: 3 x 3 x 7.', 'The prime factors and multiplicities 40 and 63 have in common are: 1.', '1 is the gcf of 40 and 63.', 'gcf(40,63) = 1.']
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['The prime factorization of 6 is: 2 x 3.', 'The prime factorization of 30 is: 2 x 3 x 5.', 'The prime factors and multiplicities 6 and 30 have in common are: 2 x 3.', '2 x 3 is the gcf of 6 and 30.', 'gcf(6,30) = 6.']
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The prime factorization of 56 is 2 * 2 * 2 * 7. This can also be written with exponents as 2^3 * 7.
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The prime factorization of 90 is: 2 x 3 x 3 x 5. The prime factors and multiplicities 25 and 90 have in common are: 5. 5 is the gcf of 25 and 90. gcf(25,90) = 5.
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Prime factorization: 80 = 2 x 2 x 2 x 2 x 5 which can also be written 80 = 2⁴ x 5.
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Answer and Explanation: The prime factorization of 11 is 1 × 11. The number 11 is a prime number, because its only factors are 1 and itself.
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['The prime factorization of 56 is: 2 x 2 x 2 x 7.', 'The prime factorization of 21 is: 3 x 7.', 'The prime factors and multiplicities 56 and 21 have in common are: 7.', '7 is the gcf of 56 and 21.', 'gcf(56,21) = 7.']
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In the prime factorization of 36 = 2² x 3², the two is used as a factor two times and the three is used as a factor twice. When checking to see if a number is prime or not, you need only divide by those prime numbers that when squared remain less than the given number.