Question
What is the prime factorization for 50?
A.
25 × 52
B.
2 × 52
C.
25 × 5
D.
22 × 52
A.
25 × 52
B.
2 × 52
C.
25 × 5
D.
22 × 52
Answers
GPT-4o mini
To find the prime factorization of 50, we can break it down into its prime factors:
50 can be divided by 2 (the smallest prime number):
50 ÷ 2 = 25
Next, we can factor 25, which is:
25 = 5 × 5 = 5²
Combining these factors, we have:
50 = 2 × 5²
So the prime factorization of 50 is \( 2 × 5² \).
The correct choice is:
**B. 2 × 5²**
50 can be divided by 2 (the smallest prime number):
50 ÷ 2 = 25
Next, we can factor 25, which is:
25 = 5 × 5 = 5²
Combining these factors, we have:
50 = 2 × 5²
So the prime factorization of 50 is \( 2 × 5² \).
The correct choice is:
**B. 2 × 5²**