Question
What is the prime factorization of 84?
2 times 3 times 7
2 squared times 3 times 7
2 Superscript 5 Baseline times 3
2 squared times 21
2 times 3 times 7
2 squared times 3 times 7
2 Superscript 5 Baseline times 3
2 squared times 21
Answers
GPT-4o mini
The prime factorization of 84 can be found by dividing it by the smallest prime numbers.
1. Start with 84 and divide by 2 (the smallest prime):
\( 84 \div 2 = 42 \)
2. Divide 42 by 2 again:
\( 42 \div 2 = 21 \)
3. Now, divide 21 by the next smallest prime number, which is 3:
\( 21 \div 3 = 7 \)
4. Finally, 7 is a prime number.
Putting this together, the prime factors of 84 are:
\( 2 \times 2 \times 3 \times 7 \)
This can also be written in exponential form as:
\( 2^2 \times 3^1 \times 7^1 \)
Thus, the prime factorization of 84 is:
**2 squared times 3 times 7**.
So, the correct choice from your options is:
**2 squared times 3 times 7**.
1. Start with 84 and divide by 2 (the smallest prime):
\( 84 \div 2 = 42 \)
2. Divide 42 by 2 again:
\( 42 \div 2 = 21 \)
3. Now, divide 21 by the next smallest prime number, which is 3:
\( 21 \div 3 = 7 \)
4. Finally, 7 is a prime number.
Putting this together, the prime factors of 84 are:
\( 2 \times 2 \times 3 \times 7 \)
This can also be written in exponential form as:
\( 2^2 \times 3^1 \times 7^1 \)
Thus, the prime factorization of 84 is:
**2 squared times 3 times 7**.
So, the correct choice from your options is:
**2 squared times 3 times 7**.