Question

HELP ASAP PLEASE!!!!!!!!!!!!!

What is the prime factorization of 50?
A. 2 • 25
B. 5 • 10
C. 22 • 5
D. 2 • 52

Answer 1

Option D

The prime factorization of 50 is
`2 * 5^2`

Solution:

Given that, we have to find prime factorization of 50

The prime factorization is any of the prime numbers that can be multiplied to give the original number

Prime Factorization of 50

Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder

`50 / 2 = 25`

Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers

`25 / 5 = 5\\\\5 / 5 = 1`

Step 2: Write the number as a product of prime numbers

`\text{ Prime factorization of 50 } = 2 * 5 * 5`

In exponential form,

`\text{Prime factorization of 50 } = 2 * 5^2`

Thus option D is correct