Class 6 Exam > Class 6 Questions > Two numbers having only 1 as common factor ar...
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Two numbers having only 1 as common factor are called
- a)Odd numbers
- b)prime numbers
- c)Co-prime numbers
- d)Composite numbers
Correct answer is option 'C'. Can you explain this answer?
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Two numbers having only 1 as common factor are calleda)Odd numbersb)pr...
The two numbers which have only 1 as their common factor are called co-primes.
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Two numbers having only 1 as common factor are calleda)Odd numbersb)pr...
Co-Prime Numbers
Co-Prime numbers are two numbers that do not have any common factors other than 1. In other words, the greatest common factor (GCF) of the two numbers is 1. For example, 4 and 9 are not co-prime because they have a common factor of 1, 4. However, 4 and 7 are co-prime because they do not have any common factors other than 1.
Why are they called Co-Prime?
The term "co-prime" comes from the fact that the two numbers share no common prime factors. The prefix "co" means "together" or "in common," and prime numbers are those that are only divisible by 1 and themselves. Therefore, two numbers that are co-prime have no shared factors other than 1, which means they have no prime factors in common.
Relation with Prime Numbers
Prime numbers are a special case of co-prime numbers. A prime number is a number that is only divisible by 1 and itself. Therefore, any two prime numbers are co-prime because they share no factors other than 1. However, not all co-prime numbers are prime. For example, 4 and 7 are co-prime, but neither of them is a prime number.
Importance
Co-prime numbers are important in number theory and cryptography. They are often used in cryptography to create public and private keys for encryption. The security of these keys relies on the fact that it is difficult to find the factors of large co-prime numbers.
Conclusion
In conclusion, two numbers having only 1 as a common factor are called co-prime numbers. They are important in number theory and cryptography because of their unique properties. Co-prime numbers share no prime factors and are used to create secure encryption keys.
Co-Prime numbers are two numbers that do not have any common factors other than 1. In other words, the greatest common factor (GCF) of the two numbers is 1. For example, 4 and 9 are not co-prime because they have a common factor of 1, 4. However, 4 and 7 are co-prime because they do not have any common factors other than 1.
Why are they called Co-Prime?
The term "co-prime" comes from the fact that the two numbers share no common prime factors. The prefix "co" means "together" or "in common," and prime numbers are those that are only divisible by 1 and themselves. Therefore, two numbers that are co-prime have no shared factors other than 1, which means they have no prime factors in common.
Relation with Prime Numbers
Prime numbers are a special case of co-prime numbers. A prime number is a number that is only divisible by 1 and itself. Therefore, any two prime numbers are co-prime because they share no factors other than 1. However, not all co-prime numbers are prime. For example, 4 and 7 are co-prime, but neither of them is a prime number.
Importance
Co-prime numbers are important in number theory and cryptography. They are often used in cryptography to create public and private keys for encryption. The security of these keys relies on the fact that it is difficult to find the factors of large co-prime numbers.
Conclusion
In conclusion, two numbers having only 1 as a common factor are called co-prime numbers. They are important in number theory and cryptography because of their unique properties. Co-prime numbers share no prime factors and are used to create secure encryption keys.
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Two numbers having only 1 as common factor are calleda)Odd numbersb)pr...
Option c) co-prime because we all know that ,
the no. which have only 1 as c.f. are co- prime.
the no. which have only 1 as c.f. are co- prime.
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Two numbers having only 1 as common factor are calleda)Odd numbersb)prime numbersc)Co-prime numbersd)Composite numbersCorrect answer is option 'C'. Can you explain this answer?
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