+ 7 = 12 \text{، و12 يقبل القسمة على } 3، \text{ لذا نتحقق مما إذا كان } 57 \text{ يقبل القسمة على } 3.

["Understanding Divisibility: Checking If 57 Is Divisible by 3 | Step-by-Step Explanation", "In basic arithmetic, one of the most important concepts is divisibility — determining whether one number divides evenly into another without leaving a remainder. Today, we explore a simple yet powerful principle: checking if 57 is divisible by 3 using fundamental divisibility rules. This method not only saves time but also strengthens number sense. Let’s dive in.", "### The Definition of Divisibility by 3", "A number is divisible by 3 if the sum of its digits is divisible by 3. This rule works because of how our base-10 number system functions. For example, during the addition and multiplication processes, many intermediate operations align with multiples of 3, making this a reliable shortcut.", "### Step 1: Apply the Rule to 12\nBefore moving to 57, we verify the simpler case: Is 12 divisible by 3?\n- Sum of digits: 1 + 2 = 3\n- Since 3 is divisible by 3, 12 is indeed divisible by 3 (12 ÷ 3 = 4).", "The divisibility rule holds true.", "### Step 2: Check If 57 Is Divisible by 3\nNow apply the same rule to 57:\n- Sum of digits: 5 + 7 = 12\n- Check if 12 is divisible by 3: Yes, because 12 ÷ 3 = 4, with no remainder.", "Since the sum of 5 and 7 yields 12 — a multiple of 3 — we conclude that 57 is divisible by 3.", "### Step 3: Confirm with Division\nFor extra certainty, divide 57 by 3:\n[ 57 ÷ 3 = 19 ]\nSince the result is a whole number (19), 57 is fully divisible by 3.", "### Why This Rule Matters\nUsing digit-sum checks removes the need for full division, especially useful when calculating mentally or with large numbers. It also reveals patterns in numbers — such as noting that all numbers where digits sum to multiples of 3 (like 3, 6, 9, 12, 15, etc.) follow this consistent divisibility.", "---", "### Final Takeaway\nBy summing the digits of 57 (5 + 7 = 12) and confirming 12 is divisible by 3, we confirm that 57 is divisible by 3. This approach not only simplifies arithmetic but deepens understanding of number relationships — a valuable skill in mathematics and daily problem-solving.", "Keywords: divisibility rule, check if 57 divisible by 3, digit sum divisibility, 12 divisible by 3, understand division, basic math rules.", "Meta Description\nLearn how to check if 57 is divisible by 3 using the digit sum method — a quick, reliable divisibility rule that simplifies math understanding and enhances number sense."]