The Fundamental Theorem of Arithmetic

Using the fundamental theorem of arithmetic to find the $\mathrm{HCF}$ of $72, 56$ and $420$.

Using the fundamental theorem of arithmetic to find the $\mathrm{HCF}$ of $26, 52$ and $104$.

Find the simplest form of $\frac{92}{115}$.

Write the sum of powers of prime factors of $196$

Sum of powers of prime factors of $196$ is:

The prime factor of $2\times 7\times 11\times 17\times 23+23$ is

Express 80 in the form $2^n{5}^m,$ then n and m are:-

There is a circular path around a sports field. Sonia takes $18$ minutes to drive one round of the field, while Ravi takes $12$ minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. What is the least amount of time after which they meet each other again at the starting point?

How many prime factors are there in prime factorisation of 5005?

How many pairs of positive integers (n, m), with $n\le m$ satisfy the equation $\frac{1}{\mathrm{5 }}= \frac{1}{\mathrm{n }}+ \frac{1}{m} ?$