Question

Find the prime factorization for the number m (if possible) that makes each of the following true. If no number is possible, explain why not.

A. 2^3 x 19^5 x 23^4 = 2^3 x 19^5 x 46 x m

Answer 1

Is not possible to find a prime factorization for m.

Explanation:

if

`2^3 . 19^5 . 23^4 = 2^3 . 19^5 . 46 . m`

then

`m=(2^3. 19^5 . 23^4)/(2^3 . 19^5 . 46 )=(2^3. 19^5 . 23^4)/(2^3 . 19^5 . 2.23 )=(23^3)/(2)`

So m is not an integer, hence it cannot be decomposed in prime factors.