Schneider Harrington
11/01/2023 · High School

Without dividing, determine if 41,502 is divisible by 3 and explain how you know.

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To determine if the number 41,502 is divisible by 3, we can use the rule of divisibility for 3, which states that a number is divisible by 3 if the sum of its digits is divisible by 3. Let's find the sum of the digits of 41,502: - The digits are: 4, 1, 5, 0, and 2. - Now, we add them together: \( 4 + 1 + 5 + 0 + 2 = 12 \). Next, we check if 12 is divisible by 3. We can do this by summing the digits of 12: - The digits of 12 are: 1 and 2. - Adding these gives us: \( 1 + 2 = 3 \). Since 3 is divisible by 3, we conclude that 12 is also divisible by 3. Therefore, since the sum of the digits of 41,502 is 12, which is divisible by 3, we can conclude that 41,502 is divisible by 3.

Quick Answer

The sum of the digits of 41,502 is 12, which is divisible by 3, so 41,502 is divisible by 3.
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