Find the value of P such that 4864 imes 9P2 is divisible by 12.

March 27, 2026Mathematics

ScanSolve AI Answer

March 27, 2026

Answer

for the product $4864 \times 9P2$ to be divisible by 4, $9P2$ must be divisible

Step 1: Understand the divisibility rule for 12. A number is divisible by 12 if it is divisible by both 3 and 4.

Step 2: Apply the divisibility rule for 4 to $4864 \times 9P2$ . For a number to be divisible by 4, the number formed by its last two digits must be divisible by 4. The number 4864 is divisible by 4 because its last two digits, 64, are divisible by 4 ( $64 \div 4 = 16$ ). Therefore, for the product $4864 \times 9P2$ to be divisible by 4, $9P2$ must be divisible by 4.

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Quick Answer

Understand the divisibility rule for 12. A number is divisible by 12 if it is divisible by both 3 and 4.

Asked on March 27, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 27, 2026

Step 1: Understand the divisibility rule for 12. A number is divisible by 12 if it is divisible by both 3 and 4. Step 2: Apply the divisibility rule for 4 to 4864 × 9P2. For a number to be divisible by 4, the number formed by its last two digits must be divisible by 4. The number 4864 is divisible by 4 because its last two digits, 64, are divisible by 4 (64 ÷ 4 = 16). Therefore, for the product 4864 × 9P2 to be divisible by 4, 9P2 must be divisible by 4.