Check Divisibility: Is 15 Evenly Divisible by 2?

Divisibility Rules with Odd Numbers

Is the number 15 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
00:11 It seems the number is not divisible by 2
00:17 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 15 divisible by 2?

2

Step-by-step solution

To determine if the number 15 is divisible by 2, we will apply the rule for divisibility by 2:

  • A number is divisible by 2 if its last digit is 0, 2, 4, 6, or 8.

Now, let's follow these steps:

Step 1: Identify the last digit of the number 15. The last digit is 5.

Step 2: Compare this digit with the criteria for divisibility by 2. The digit 5 is not in the set of digits {0, 2, 4, 6, 8}.

Since the last digit of 15 is not one of the digits that makes a number divisible by 2, 15 is not divisible by 2.

Therefore, the conclusion is clear: the number 15 is not divisible by 2.

3

Final Answer

No

Key Points to Remember

Essential concepts to master this topic
  • Rule: Numbers divisible by 2 end in 0, 2, 4, 6, or 8
  • Technique: Check last digit of 15 which is 5 (not even)
  • Check: Since 5 is odd, 15 ÷ 2 = 7.5, not a whole number ✓

Common Mistakes

Avoid these frequent errors
  • Confusing divisibility with division
    Don't think 15 ÷ 2 = 7.5 means divisible = yes! Getting a decimal means NOT divisible. Always remember divisibility means the result must be a whole number with no remainder.

Practice Quiz

Test your knowledge with interactive questions

Is the number 43 divisible by 4?

FAQ

Everything you need to know about this question

What does 'divisible' actually mean?

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A number is divisible by another if you can divide it evenly with no remainder. For example, 8 ÷ 2 = 4 exactly, so 8 is divisible by 2.

Why can't 15 be divided by 2 if I get 7.5?

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You can divide 15 by 2, but you get 7.5 (a decimal). Divisibility means getting a whole number answer only. Since 7.5 isn't whole, 15 is not divisible by 2.

Do I always need to check the last digit for divisibility by 2?

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Yes! This is the fastest method. If the last digit is even (0, 2, 4, 6, 8), the whole number is divisible by 2. If it's odd (1, 3, 5, 7, 9), it's not.

What if the number has multiple digits?

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It doesn't matter how long the number is! For divisibility by 2, only look at the last digit. Whether it's 15, 1,275, or 98,765 - just check that final digit.

Are there shortcuts for other divisibility rules?

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Absolutely! Each number has its own rule: divisibility by 3 uses sum of digits, by 5 uses last digit 0 or 5, by 10 uses last digit 0. Learn these patterns to work faster!

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