| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | D. 2^4 • 3 |
D |
| deepseekr1 | The prime factorization of 48 involves breaking it down into prime numbers. Starting with the smallest prime, 2: 48 ÷ 2 = 24 24 ÷ 2 = 12 12 ÷ 2 = 6 6 ÷ 2 = 3 3 is prime. This results in \(2^4 \times 3\). - **A (4 • 8):** Not prime (4 and 8 are composite). - **B (6 • 8):** Not prime (6 and 8 are composite). - **C (2³ • 3²):** Incorrect (calculates to 8 • 9 = 72 ≠ 48). - **D (2⁴ • 3):** Correct (16 • 3 = 48). Answer: D |
D |
| gpto1 | D | D |
| GPT-4o | D. 2^4 • 3 | D |
| llama3.1-70B-Instruct | D |
D |
| llama3.1-405B-Instruct | D |
D |
| DeepSeek-Coder-V2 | D. 2^4 • 3 | D |
| Qwen2-72B-Instruct | D. 2^4 • 3 | D |
| baichuan4 | D. 2^4 • 3 | D |
| doubao | D. 2^4 • 3. 48 = 2×2×2×2×3 = 2^4 × 3. | D |
| minimax | The prime factorization of 48 is found by breaking down the number into its prime factors. The number 48 can be divided by 2 repeatedly until we are left with a prime number. 48 ÷ 2 = 24 24 ÷ 2 = 12 12 ÷ 2 = 6 6 ÷ 2 = 3 Now we have the prime number 3, and we can express 48 as a product of its prime factors: 48 = 2 × 2 × 2 × 2 × 3 Using exponents to represent the repeated factors, we get: 48 = 2^4 × 3 Therefore, the correct answer is: D. 2^4 • 3 |
D |
| kimi | C. 2^3 • 3^2 | D |
| wenxinyiyan | D | D |
| zhipu | D. 2^4 • 3 The prime factorization of 48 is 2^4 • 3. This means 48 can be expressed as 2 raised to the power of 4 (which is 16) multiplied by 3. The breakdown is: 48 = 2 × 24 24 = 2 × 12 12 = 2 × 6 6 = 2 × 3 So, 48 = 2 × 2 × 2 × 2 × 3 = 2^4 × 3. Therefore, the correct answer is D. |
D |
| gpto1 | D | D |
| deepseekv3 | To find the prime factorization of 48, we break it down into its prime factors: 1. Start by dividing 48 by the smallest prime number, which is 2: - 48 ÷ 2 = 24 - 24 ÷ 2 = 12 - 12 ÷ 2 = 6 - 6 ÷ 2 = 3 2. Now, 3 is a prime number, so we stop here. 3. The prime factors of 48 are 2 × 2 × 2 × 2 × 3, which can be written using exponents as \( 2^4 \times 3 \). Thus, the correct answer is: **D. \( 2^4 \times 3 \)** |
D |