Question

Express the following as the product of exponent through prime factorization 288

Answer 1

288= 2^5*3^2
The prime factorisation is in the image

Answer 2

The product of exponent through prime factorization 288 is "$2^{5} \times 3^{2}$".

Step-by-step explanation:

We have,

288

To find, The prime factorization 288 = ?

∴ $288=2\times 144$

$=2\times 2\times 72$

$=2\times 2\times 2\times 36$

$=2\times 2\times 2\times 2\times 18$

$=2\times 2\times 2\times 2\times 2\times 9$

$=2\times 2\times 2\times 2\times 2\times 3\times 3$

The prime factorization $288=2^{5} \times 3^{2}$

Hence, the product of exponent through prime factorization 288 is "$2^{5} \times 3^{2}$".