Question

Write the greatest $4$-digit number and express it in terms of its prime factors.

Answer 1

Express greatest $4$-digit number in terms of its prime factors.

Prime factorization is the method of expressing a composite number as a product of its prime factors.

A prime numbers is a number whose factor are $1$ and the number itself.

The greatest $4$-digit number is $9999$ .

Now, $9999$ can be expressed in terms of prime factor as:

$\begin{array}{rcl}9999& =& 3\times 3\times 11\times 101\\ & \Rightarrow & 9999=3^2\times 11\times 101\end{array}$

Therefore, $9999$ is the largest $4$-digit number and it can be expressed as $3^2\times 11\times 101$.