Question
The prime factorization of 225 is
Answers
GPT-4o mini
To find the prime factorization of 225, we can begin by dividing it by the smallest prime numbers.
1. Start with 2: 225 is odd, so it is not divisible by 2.
2. Next, try 3:
\[
225 \div 3 = 75
\]
3. Now take 75 and divide it by 3 again:
\[
75 \div 3 = 25
\]
4. Next, try to factor 25. The smallest prime number that divides 25 is 5:
\[
25 \div 5 = 5
\]
5. Finally, divide 5 by itself:
\[
5 \div 5 = 1
\]
Putting it all together, we have:
- \( 225 = 3 \times 3 \times 5 \times 5 \), or
- \( 225 = 3^2 \times 5^2 \).
Thus, the prime factorization of 225 is:
\[
3^2 \times 5^2
\]
1. Start with 2: 225 is odd, so it is not divisible by 2.
2. Next, try 3:
\[
225 \div 3 = 75
\]
3. Now take 75 and divide it by 3 again:
\[
75 \div 3 = 25
\]
4. Next, try to factor 25. The smallest prime number that divides 25 is 5:
\[
25 \div 5 = 5
\]
5. Finally, divide 5 by itself:
\[
5 \div 5 = 1
\]
Putting it all together, we have:
- \( 225 = 3 \times 3 \times 5 \times 5 \), or
- \( 225 = 3^2 \times 5^2 \).
Thus, the prime factorization of 225 is:
\[
3^2 \times 5^2
\]