问题


There is a single choice question about elementary mathematics. Answer the question by replying A, B, C or D.
Question: Write the prime factorization of 77. Use exponents where possible.
A. 7 • 11^2 • 13
B. 7^2 • 11
C. 7 • 11 • 13
D. 7 • 11
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

D. 7 • 11
D
deepseekr1

The prime factorization of 77 involves breaking it down into prime numbers. Checking divisibility by primes smaller than 77: 77 is not divisible by 2, 3, or 5. Dividing 77 by 7 gives \(77 \div 7 = 11\), confirming \(77 = 7 \times 11\). Both 7 and 11 are primes.

Reviewing the options:
- **A** includes extra primes (11² and 13), which are incorrect.
- **B** incorrectly uses \(7^2\).
- **C** adds an unnecessary 13.
- **D** correctly states \(7 \times 11\).

Answer: D
D
gpto1 D D
GPT-4o D. 7 • 11 D
llama3.1-70B-Instruct

The answer is D
D
llama3.1-405B-Instruct

D. 7 • 11
D
DeepSeek-Coder-V2 D. 7 • 11 D
Qwen2-72B-Instruct D. 7 • 11 D
baichuan4 D. 7 • 11 D
doubao D. 7 • 11. 77 = 7 × 11 and both 7 and 11 are prime numbers. D
minimax D. 7 • 11 D
kimi D. 7 • 11 D
wenxinyiyan D D
zhipu D. 7 • 11

The prime factorization of 77 is 7 and 11 since both are prime numbers and their product is 77. There are no exponents needed in this case.
D
gpto1 D D
deepseekv3 To find the prime factorization of 77, we break it down into its prime factors:

1. 77 is divisible by 7:
\( 77 ÷ 7 = 11 \).

2. 11 is a prime number.

Thus, the prime factorization of 77 is \( 7 • 11 \).

The correct answer is **D**.

\boxed{D}
D