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Which of the following numbers are divis...

Which of the following numbers are divisible by 2, 4 or 8:
54010

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The correct Answer is:
To determine whether the number 54010 is divisible by 2, 4, or 8, we will apply the divisibility rules for each of these numbers step by step. ### Step 1: Check for Divisibility by 2 The rule for divisibility by 2 states that a number is divisible by 2 if its last digit (the digit in the unit's place) is even (0, 2, 4, 6, or 8). - The last digit of 54010 is 0, which is even. **Conclusion**: 54010 is divisible by 2. ### Step 2: Check for Divisibility by 4 The rule for divisibility by 4 states that a number is divisible by 4 if the number formed by its last two digits (the digits in the unit's and ten's places) is divisible by 4. - The last two digits of 54010 are 10. - Now, we check if 10 is divisible by 4: - 10 ÷ 4 = 2.5 (not a whole number). **Conclusion**: 54010 is not divisible by 4. ### Step 3: Check for Divisibility by 8 The rule for divisibility by 8 states that a number is divisible by 8 if the number formed by its last three digits (the digits in the unit's, ten's, and hundred's places) is divisible by 8. - The last three digits of 54010 are 010 (which is the same as 10). - Now, we check if 10 is divisible by 8: - 10 ÷ 8 = 1.25 (not a whole number). **Conclusion**: 54010 is not divisible by 8. ### Final Summary - 54010 is divisible by 2. - 54010 is not divisible by 4. - 54010 is not divisible by 8.
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