Question

Find two pairs of relatively prime numbers from $5,10,16\&25$.

Short answer

The pairs of co prime are $5-16,16-25$.

Step-by-step solution

Step -1 - Apply the concept of Prime and co prime number

In this, simply use the concept of prime number and co prime number such that a number has two factors \[1\] and its number itself called prime number and Two integers are said to be co-prime (or relatively prime) if they do not share a common divisor different than $1$.

Step -2 – Find the Factorization to find prime and co prime

Here, the numbers are $5,10,16\&25$.

Factorization of $5$ is $5=1\times 5$.

Factorization of $10$ is $10=1\times 2\times 5$.

Factorization of $16$ is $16=1\times 2\times 2\times 4$.

Factorization of $25$ is $25=1\times 5\times 5$.

Step -3 – Finding the common factor

Now, from the above factorization, it is seen that the two pair having common factor $1$, which would become co – prime.

So, the pairs are $5-16,16-25$.