Question
write 66 as product of prime factors
Answers
Answered by
GPT-4o mini
To express 66 as a product of its prime factors, we can start by dividing it by the smallest prime numbers.
1. Divide 66 by 2 (the smallest prime number):
\[
66 \div 2 = 33
\]
So, \(66 = 2 \times 33\).
2. Now, we need to factor 33. The smallest prime number that divides 33 is 3:
\[
33 \div 3 = 11
\]
So, \(33 = 3 \times 11\).
3. Now, we can write:
\[
66 = 2 \times 3 \times 11
\]
Thus, the prime factorization of 66 is:
\[
66 = 2 \times 3 \times 11
\]
1. Divide 66 by 2 (the smallest prime number):
\[
66 \div 2 = 33
\]
So, \(66 = 2 \times 33\).
2. Now, we need to factor 33. The smallest prime number that divides 33 is 3:
\[
33 \div 3 = 11
\]
So, \(33 = 3 \times 11\).
3. Now, we can write:
\[
66 = 2 \times 3 \times 11
\]
Thus, the prime factorization of 66 is:
\[
66 = 2 \times 3 \times 11
\]