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Fundamental Theorem of Arithmetic Video Lecture - Class 10
FAQs on Fundamental Theorem of Arithmetic Video Lecture - 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 written uniquely as a product of prime numbers.
| 2. How is the Fundamental Theorem of Arithmetic useful? | |
Ans. The Fundamental Theorem of Arithmetic is useful in number theory and cryptography, as well as in many other areas of mathematics and science. It helps in finding the prime factorization of a number, which is important in solving many mathematical problems.
| 3. Can the Fundamental Theorem of Arithmetic be applied to negative numbers? | |
Ans. No, the Fundamental Theorem of Arithmetic only applies to positive integers greater than 1. It cannot be applied to negative numbers or fractions.
| 4. What is the difference between prime and composite numbers? | |
Ans. A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. A composite number is a positive integer greater than 1 that is not prime and can be factored into smaller positive integers.
| 5. What is the significance of the word "unique" in the Fundamental Theorem of Arithmetic? | |
Ans. The word "unique" in the Fundamental Theorem of Arithmetic means that there is only one way to write a given number as a product of primes. This is important because it ensures that the prime factorization of a number is always the same, regardless of how it is factored. This makes it easier to compare and work with numbers in a consistent way.
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