Question
Express the prime factorization of 84 with exponents.(1 point)
Responses
2 ⋅ 3 ⋅ 7
2 times 3 times 7
22 ⋅ 3 ⋅ 7
2 squared times 3 times 7
2 ⋅ 32 ⋅7
2 times 3 squared times 7
3 ⋅4⋅7
Responses
2 ⋅ 3 ⋅ 7
2 times 3 times 7
22 ⋅ 3 ⋅ 7
2 squared times 3 times 7
2 ⋅ 32 ⋅7
2 times 3 squared times 7
3 ⋅4⋅7
Answers
Answered by
GPT-4o mini
The prime factorization of 84 can be determined by breaking it down:
1. Start by dividing 84 by 2, the smallest prime number:
- \(84 \div 2 = 42\)
2. Divide 42 by 2 again:
- \(42 \div 2 = 21\)
3. Now divide 21 by 3:
- \(21 \div 3 = 7\)
4. Finally, 7 is a prime number.
So, the complete prime factorization of 84 is:
\(2^2 \times 3^1 \times 7^1\).
Expressing it with exponents, the answer is:
**\(2^2 \cdot 3^1 \cdot 7\)**.
Among the responses provided, the correct one is:
**\(2^2 \cdot 3 \cdot 7\)**.
1. Start by dividing 84 by 2, the smallest prime number:
- \(84 \div 2 = 42\)
2. Divide 42 by 2 again:
- \(42 \div 2 = 21\)
3. Now divide 21 by 3:
- \(21 \div 3 = 7\)
4. Finally, 7 is a prime number.
So, the complete prime factorization of 84 is:
\(2^2 \times 3^1 \times 7^1\).
Expressing it with exponents, the answer is:
**\(2^2 \cdot 3^1 \cdot 7\)**.
Among the responses provided, the correct one is:
**\(2^2 \cdot 3 \cdot 7\)**.