what is prime factorization and how does it relate to internet security?
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Prime Factorization (or integer factorization) is a commonly used mathematical problem often used to secure public-key encryption systems. A common practice is to use very large semi-primes (that is, the result of the multiplication of two prime numbers) as the number securing the encryption.
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Prime Factors. ... When a composite number is written as a product of all of its prime factors, we have the prime factorization of the number. For example, the number 72 can be written as a product of primes as: 72 = . The expression " " is said to be the prime factorization of 72.
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Factors of 44: 1, 2, 4, 11, 22, 44. Prime factorization: 44 = 2 x 2 x 11, which can also be written 2² x 11.
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['The prime factorization of 21 is: 3 x 7.', 'The prime factorization of 24 is: 2 x 2 x 2 x 3.', 'The prime factors and multiplicities 21 and 24 have in common are: 3.', '3 is the gcf of 21 and 24.', 'gcf(21,24) = 3.']
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Sometimes, two numbers do not have any prime factors in common. For example, the prime factorization of 40 is 2×2×2×5 and the prime factorization of 21 is 3×7. Since 40 and 21 have no common prime factors, they are said to be relatively prime, and their greatest common factor is 1.
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Prime Factorization. The only way to write 42 as the product of primes (except to change the order of the factors) is 2 × 3 × 7. We call 2 × 3 × 7 the prime factorization of 42.
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Answer and Explanation: The prime factorization of 40 is 2 × 2 × 2 × 5, or 23 × 5.
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The reason prime numbers are fundamental to RSA encryption is because when you multiply two together, the result is a number that can only be broken down into those primes (and itself an 1). ... It's easy enough to break 187 down into its primes because they're so small.
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Answer and Explanation: The prime factorization of the number 24 is 2 × 2 × 2 × 3. You can also write this with exponents as 23 × 3.
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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 44 is: 2 x 2 x 11.', 'The prime factorization of 40 is: 2 x 2 x 2 x 5.', 'The prime factors and multiplicities 44 and 40 have in common are: 2 x 2.', '2 x 2 is the gcf of 44 and 40.', 'gcf(44,40) = 4.']
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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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Answer and Explanation: The prime factorization of 90 is 2 × 3 × 3 × 5. Finding the prime factorization of a number x can be done using factor trees to...
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The prime factorization of 12 is: 2 x 2 x 3. The prime factorization of 32 is: 2 x 2 x 2 x 2 x 2. The prime factors and multiplicities 12 and 32 have in common are: 2 x 2. 2 x 2 is the gcf of 12 and 32.
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Lesson Summary The factors of a number are numbers that evenly divide into it. A prime factor is a factor that is only divisible by 1 and itself. You can use a factor tree to help you find a number's prime factorization.
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The prime factorization of 7 is: 7. The prime factors and multiplicities 4 and 7 have in common are: 1. 1 is the gcf of 4 and 7. gcf(4,7) = 1.
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PKI (or Public Key Infrastructure) is the framework of encryption and cybersecurity that protects communications between the server (your website) and the client (the users). It works by using two different cryptographic keys: a public key and a private key. ... This protects the user's information from theft or tampering.