What is the Fundamental Theorem of Arithmetic?

Q: What is the Fundamental Theorem of Arithmetic?


A: The Fundamental Theorem of Arithmetic is a theorem of number theory that states every positive integer greater than 1 can be written as a product of prime numbers, and there is only one way to write the number.

Q: How can this theorem be used?


A: This theorem can be used in cryptography.

Q: What happens if two people find two different ways to write the same number?


A: If two people find two different ways to write the same number, then the only thing that can be different is the order in which the primes are written.

Q: What is factorization?


A: Factorization is finding all of the prime numbers that make up a given number.

Q: Is 6936 an example of a prime number?


A: No, 6936 is not a prime number; it can be written as 23 · 3 · 172.
No, 6936 is not a prime number; it can be written as 23 · 3 · 172.

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