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Are all fractions prime numbers?

Published in Number Theory 1 min read

No, fractions are not prime numbers.

Prime numbers are defined as whole numbers greater than 1 that have only two distinct positive divisors: 1 and themselves. Fractions, by definition, are not whole numbers. They represent parts of a whole.

Here's a breakdown:

  • Prime Numbers: Whole numbers (also known as integers) greater than 1. Examples: 2, 3, 5, 7, 11, 13, etc.
  • Fractions: Represent a part of a whole. They are expressed as a ratio of two integers (a numerator and a denominator), where the denominator is not zero. Examples: 1/2, 3/4, 5/8, 2/3, etc.

Since fractions are not whole numbers, they cannot meet the criteria to be considered prime numbers. The definition of a prime number necessitates it being a whole number with specific divisibility properties, a characteristic that fractions inherently lack.

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