Question

QuestionThe prime factorization of 225 is:(1 point)Responses2 • 3 • 522 • 3 • 5 23 • 523 • 5 232 • 523 2 • 5 232 • 5

Answer 1

To find the prime factorization of 225, we can start by dividing by the smallest prime numbers.

1. 225 is an odd number, so it’s not divisible by 2.
2. Next, we can try dividing by 3:
- \( 225 \div 3 = 75 \)
3. Now we factor 75:
- \( 75 \div 3 = 25 \)
4. Lastly, we can factor 25:
- \( 25 \div 5 = 5 \)
- \( 5 \div 5 = 1 \)

So we break it down as follows:
- \( 225 = 3 \times 75 \)
- \( 75 = 3 \times 25 \)
- \( 25 = 5 \times 5 = 5^2 \)

Thus, the prime factorization of 225 is:
\[ 225 = 3^2 \times 5^2 \]

In the answer choices you provided, the correct response would be:
**3² • 5²**.