Check Divisibility: Is 42 Evenly Divisible by 2?

Divisibility Rules with Even Number Tests

Is the number 42 divisible by 2?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Is the number divisible by 2?
00:03 A number where the ones digit is even is divisible by 2
00:10 The number is divisible by 2
00:14 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Is the number 42 divisible by 2?

2

Step-by-step solution

To determine if 42 is divisible by 2, we apply the divisibility rule for 2:

  • According to the divisibility rule, a number is divisible by 2 if its last digit is one of the even digits: 0, 2, 4, 6, or 8.

Let's check the last digit of 42:

  • The last digit of 42 is 2.

  • The digit 2 is an even number.

Since 2 is even, it follows that 42 is divisible by 2.

Therefore, the answer to the problem is Yes, which corresponds to choice 1.

3

Final Answer

Yes

Key Points to Remember

Essential concepts to master this topic
  • Rule: A number is divisible by 2 if its last digit is even
  • Technique: Check only the ones digit: 42 ends in 2, which is even
  • Check: Verify by dividing: 42 รท 2 = 21 with no remainder โœ“

Common Mistakes

Avoid these frequent errors
  • Checking all digits instead of just the last digit
    Don't examine every digit like 4 and 2 separately = unnecessary work and confusion! The divisibility rule for 2 only requires checking the last digit. Always look at just the ones place digit to determine if it's 0, 2, 4, 6, or 8.

Practice Quiz

Test your knowledge with interactive questions

Is the number 43 divisible by 4?

FAQ

Everything you need to know about this question

Why do I only need to check the last digit for divisibility by 2?

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The divisibility rule for 2 works because of place value! Since 10, 100, 1000, etc. are all divisible by 2, only the ones digit determines whether the entire number is even or odd.

What if the number ends in 0? Is that considered even?

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Yes! Zero is an even number, so any number ending in 0 is automatically divisible by 2. For example, 30, 140, and 2000 are all divisible by 2.

Can I just divide 42 by 2 instead of using the rule?

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You can divide, but the divisibility rule is much faster! With large numbers like 5,842, checking the last digit (2) is instant, while division takes more time.

What are all the even digits I should look for?

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The even digits are: 0, 2, 4, 6, and 8. If a number ends in any of these digits, it's divisible by 2. If it ends in 1, 3, 5, 7, or 9, it's not divisible by 2.

Does this rule work for negative numbers too?

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Yes! The rule works the same way. For example, -42 is also divisible by 2 because it ends in 2. The negative sign doesn't change the divisibility.

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