Question
Find the prime factorization of the number of 57
Answers
GPT-4o mini
To find the prime factorization of the number 57, we can start by checking for divisibility by the smallest prime numbers.
1. **Check divisibility by 2**: 57 is odd, so it is not divisible by 2.
2. **Check divisibility by 3**: We sum the digits of 57 (5 + 7 = 12). Since 12 is divisible by 3, so is 57. Now we divide:
\[
57 \div 3 = 19
\]
3. **Check if 19 is prime**: The number 19 cannot be divided evenly by any prime numbers less than its square root (which is approximately 4.36). The prime numbers to check are 2, 3, and 5. Since 19 is not divisible by any of these, it is prime.
Thus, the prime factorization of 57 is:
\[
3 \times 19
\]
1. **Check divisibility by 2**: 57 is odd, so it is not divisible by 2.
2. **Check divisibility by 3**: We sum the digits of 57 (5 + 7 = 12). Since 12 is divisible by 3, so is 57. Now we divide:
\[
57 \div 3 = 19
\]
3. **Check if 19 is prime**: The number 19 cannot be divided evenly by any prime numbers less than its square root (which is approximately 4.36). The prime numbers to check are 2, 3, and 5. Since 19 is not divisible by any of these, it is prime.
Thus, the prime factorization of 57 is:
\[
3 \times 19
\]