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the prime factorisation property states that every number greater than 1 has exactly one prime factorization.explain this statement? |
A prime number (or prime integer, often simply called a "prime" for short) is a positive integer p>1 that has no positive integer divisors other than 1 and p itself. More concisely, a prime number p is a positive integer having exactly one positive divisor other than 1, meaning it is a number that cannot be factored. For example, the only divisors of 13 are 1 and 13, making 13 a prime number, while the number 24 has divisors 1, 2, 3, 4, 6, 8, 12, and 24 (corresponding to the factorization 24=2^3ยท3), making 24 not a prime number. Positive integers other than 1 which are not prime are called composite numbers. |