Question

Express the prime factorization of a number in exponential form.

Answer 1

Step: Take a random number as an example and factorize it

Let us take a number $720$.

Factorize the given number, $720=2\times 2\times 2\times 2\times 3\times 3\times 5$.

The factors of the number are $4$ twos, $2$ threes and $1$ five.

Thus the exponential form can be written as, $720=2^4\times 3^2\times 5^1$.

Therefore, the exponential form of the prime factorization of the assumed number is $\mathbf{720}\mathbf{=}{\mathbf{2}}^{\mathbf{4}}\mathbf{\times }{\mathbf{3}}^{\mathbf{2}}\mathbf{\times }\mathbf{5}$.