Fundamental Theorem of Arithmetic from "summary" of NCERT Class 10 Mathematics Solutions by JagranJosh
The Fundamental Theorem of Arithmetic states that every composite number can be expressed as a product of prime numbers, and this factorization is unique up to the order of the factors. In other words, any composite number can be written as a unique product of prime numbers. This theorem is fundamental in number theory and forms the basis for many mathematical concepts. It helps us understand the structure of numbers and their relationships with each other. The prime factorization of a number is crucial in various mathematical calculations, including finding the greatest common divisor or least common multiple of two numbers. For example, let's consider the number 24. It can be expressed as 2 * 2 * 2 * 3, where 2 and 3 are prime numbers. This prime factoriza...
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