Question

what numbers i can use to make a prime factorization of 50

Answer 1

To perform a prime factorization of the number 50, you can break it down into its prime factors.

1. Start by dividing 50 by the smallest prime number, which is 2:
\[
50 \div 2 = 25
\]
So, 2 is a prime factor.

2. Next, factor 25. The smallest prime number that can divide 25 is 5:
\[
25 \div 5 = 5
\]
So, 5 is a prime factor.

3. Finally, since 5 is also a prime number, you can express this as:
\[
5 \div 5 = 1
\]

Putting this all together, the prime factorization of 50 is:
\[
50 = 2 \times 5 \times 5 \text{ or } 50 = 2 \times 5^2
\]

Thus, the prime factors of 50 are **2** and **5**.