Question
99 as a factor of prime numbers
Answers
GPT-4o mini
To determine if 99 can be expressed as a product of prime factors, we can start by performing prime factorization of the number 99.
1. **Dividing by the smallest prime** (which is 3):
\[
99 \div 3 = 33
\]
2. **Continuing to factor 33**, we divide it by 3 again:
\[
33 \div 3 = 11
\]
3. **Now we have 11**, which is a prime number.
Thus, the prime factorization of 99 is:
\[
99 = 3^2 \times 11
\]
So the prime factors of 99 are 3 and 11.
1. **Dividing by the smallest prime** (which is 3):
\[
99 \div 3 = 33
\]
2. **Continuing to factor 33**, we divide it by 3 again:
\[
33 \div 3 = 11
\]
3. **Now we have 11**, which is a prime number.
Thus, the prime factorization of 99 is:
\[
99 = 3^2 \times 11
\]
So the prime factors of 99 are 3 and 11.