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Fundamental Theorem of Arithmetic Video Lecture | Mathematics (Maths) Class 10

122 videos|474 docs|105 tests

FAQs on Fundamental Theorem of Arithmetic Video Lecture - Mathematics (Maths) Class 10

1. What is the Fundamental Theorem of Arithmetic?
Ans. The Fundamental Theorem of Arithmetic states that every positive integer greater than 1 can be expressed uniquely as a product of prime numbers, up to the order of the factors.
2. How does the Fundamental Theorem of Arithmetic help in prime factorization?
Ans. The Fundamental Theorem of Arithmetic guarantees that any positive integer can be factored into its prime factors. This is useful in prime factorization, where we express a number as a product of its prime factors.
3. Can the Fundamental Theorem of Arithmetic be applied to negative numbers or fractions?
Ans. No, the Fundamental Theorem of Arithmetic only applies to positive integers greater than 1. Negative numbers and fractions cannot be expressed as a product of prime numbers in a unique way.
4. Why is the Fundamental Theorem of Arithmetic important in number theory?
Ans. The Fundamental Theorem of Arithmetic is important in number theory as it provides a foundation for prime factorization. It allows us to break down numbers into their prime factors, which helps in solving various mathematical problems and understanding the properties of numbers.
5. What are the practical applications of the Fundamental Theorem of Arithmetic?
Ans. The Fundamental Theorem of Arithmetic has practical applications in cryptography, prime number generation, and algorithms involving large numbers. It is also used in various areas of mathematics and computer science, such as in determining the greatest common divisor of two numbers.
122 videos|474 docs|105 tests

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