Question

A number is written with the following factorization:2² x 3 x 5⁴ x 8 x 11².Is this factorization a prime factorization? Explain why or why not. If it is not correct, give the correct prime factorization of the number.
Please show your work and I will give you brainliest.
(Also please try to answer fast I need to finish this quick sorry.)

Answer 1

Answer:

NO, this is not prime factorization.

The correct prime factorization is = $2^{5} X 3 X 5^{4} X 11^{2}$

Step-by-step explanation:

Prime factorization means, writing the given number as product of prime numbers.

In the above case, in the prime factorization, the number 8 is present which is not a prime number.

8 can be further represented as product of prime numbers as,

$8 = 2^{3}$

Now the prime factorization reduces to,

= $2^{2} X 3 X 5^{4} X 2^{3} X 11^{2}$

= $2^{5} X 3 X 5^{4} X 11^{2}$