Question

If two numbers are coprime then one of them is always divisible by the other

Answer 1

In number theory, two integers a and b are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1. Consequently, any prime number that divides one does not divide the other.

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Answer 2

Answer:

Step-by-step explanation:

"If two numbers are co-prime then one of them is always divisible by the other" is the wrong statement.

If two numbers are co-prime then one of them is not always divisible by the other because, In number theory, two numbers will be a co-prime when their highest common factor or greatest common divisor is 1.

Example: 5 and 7 are a co-prime numbers because HCF of 5 and 7 is 1.

We can see that 5 and 7 are also a prime number. So, co-prime numbers are also a prime number. And we know, one prime number can not be divisible by another prime number. Like 7 is not divisible by 5.