Question

Which of the following shows the prime factorization of 72 using exponential notation?2.6²8.923 . 322².32O

Answer 1

Remember that any natural number can be written as a product of prime numbers. Prime numbers are those numbers that are only divisible by one and themselves.

In the case of 72:

`\begin{gathered} 72=9\cdot8 \\ \Rightarrow72=(3\cdot3)\cdot(2\cdot2\cdot2) \\ \Rightarrow72=2^3\cdot3^2 \end{gathered}`

Therefore, the answer is the third option 72=2^3*3^2