Class 5 Exam > Class 5 Questions > Identify an example for co-prime numbers.a)25...
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Identify an example for co-prime numbers.
- a)25, 14
- b)18, 16
- c)9, 18
- d)11, 77
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Identify an example for co-prime numbers.a)25, 14b)18, 16c)9, 18d)11, ...
Co-prime numbers are two numbers that have no common factors other than 1. Let's check each pair to identify the co-prime numbers:
25, 14
- Factors of 25: 1, 5, 25
- Factors of 14: 1, 2, 7, 14
- Common factor: 1 (so, 25 and 14 are co-prime)
18, 16
- Factors of 18: 1, 2, 3, 6, 9, 18
- Factors of 16: 1, 2, 4, 8, 16
- Common factors: 1, 2 (so, 18 and 16 are not co-prime)
9, 18
- Factors of 9: 1, 3, 9
- Factors of 18: 1, 2, 3, 6, 9, 18
- Common factors: 1, 3, 9 (so, 9 and 18 are not co-prime)
11, 77
- Factors of 11: 1, 11
- Factors of 77: 1, 7, 11, 77
- Common factors: 1, 11 (so, 11 and 77 are not co-prime)
Therefore, the example of co-prime numbers is: 25, 14.
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Community Answer
Identify an example for co-prime numbers.a)25, 14b)18, 16c)9, 18d)11, ...
Co-prime Numbers Explanation:
Co-prime numbers are two numbers that have no common factors other than 1. In other words, their greatest common divisor (GCD) is 1. Let's analyze the given example of 25 and 14 to understand why they are co-prime.
Factors of 25:
25 = 1, 5, 25
Factors of 14:
14 = 1, 2, 7, 14
Common Factors:
From the factors listed above, the only common factor between 25 and 14 is 1. Since they do not have any other common factors, 25 and 14 are co-prime numbers.
Explanation:
When two numbers are co-prime, it means they do not have any common factors other than 1. This property makes co-prime numbers important in various mathematical applications, such as encryption algorithms and number theory.
Benefits:
- Co-prime numbers are used in cryptographic algorithms to enhance security.
- They play a crucial role in number theory and mathematical research.
- Understanding co-prime numbers helps in simplifying mathematical calculations and problem-solving.
Conclusion:
Identifying co-prime numbers involves analyzing their factors to determine if they share any common divisors other than 1. In the case of 25 and 14, they are co-prime because their only common factor is 1. This concept of co-prime numbers has practical applications in cryptography, number theory, and other areas of mathematics.
Co-prime numbers are two numbers that have no common factors other than 1. In other words, their greatest common divisor (GCD) is 1. Let's analyze the given example of 25 and 14 to understand why they are co-prime.
Factors of 25:
25 = 1, 5, 25
Factors of 14:
14 = 1, 2, 7, 14
Common Factors:
From the factors listed above, the only common factor between 25 and 14 is 1. Since they do not have any other common factors, 25 and 14 are co-prime numbers.
Explanation:
When two numbers are co-prime, it means they do not have any common factors other than 1. This property makes co-prime numbers important in various mathematical applications, such as encryption algorithms and number theory.
Benefits:
- Co-prime numbers are used in cryptographic algorithms to enhance security.
- They play a crucial role in number theory and mathematical research.
- Understanding co-prime numbers helps in simplifying mathematical calculations and problem-solving.
Conclusion:
Identifying co-prime numbers involves analyzing their factors to determine if they share any common divisors other than 1. In the case of 25 and 14, they are co-prime because their only common factor is 1. This concept of co-prime numbers has practical applications in cryptography, number theory, and other areas of mathematics.
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Identify an example for co-prime numbers.a)25, 14b)18, 16c)9, 18d)11, 77Correct answer is option 'A'. Can you explain this answer? for Class 5 2025 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Identify an example for co-prime numbers.a)25, 14b)18, 16c)9, 18d)11, 77Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 5 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Identify an example for co-prime numbers.a)25, 14b)18, 16c)9, 18d)11, 77Correct answer is option 'A'. Can you explain this answer?.
Identify an example for co-prime numbers.a)25, 14b)18, 16c)9, 18d)11, 77Correct answer is option 'A'. Can you explain this answer? for Class 5 2025 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Identify an example for co-prime numbers.a)25, 14b)18, 16c)9, 18d)11, 77Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 5 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Identify an example for co-prime numbers.a)25, 14b)18, 16c)9, 18d)11, 77Correct answer is option 'A'. Can you explain this answer?.
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