Is 30 Divisible by 10? A Step-by-Step Check

Divisibility Rules with Ending Digits

Is the number 30 divisible by 10?

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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 10?
00:04 A number divisible by 10 is a number with 0 as its ones digit
00:08 The number is divisible by 10
00:11 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 30 divisible by 10?

2

Step-by-step solution

To determine whether the number 30 is divisible by 10, we will apply the divisibility rule for 10.

According to this rule, a number is divisible by 10 if its last digit is 0. Let's check the number 30:

  • Step 1: Examine the last digit of 30.
    The last digit of 30 is 0.
  • Step 2: Apply the divisibility rule:
    Since the last digit is 0, 30 is divisible by 10.

Therefore, the conclusion is that 30 is divisible by 10. The correct answer is Yes, which corresponds to choice 1 in the provided options.

3

Final Answer

Yes

Key Points to Remember

Essential concepts to master this topic
  • Rule: Numbers ending in 0 are always divisible by 10
  • Technique: Check last digit only: 30 ends in 0
  • Check: Divide to confirm: 30 ÷ 10 = 3 exactly ✓

Common Mistakes

Avoid these frequent errors
  • Checking all digits instead of just the last one
    Don't examine every digit in 30 when checking divisibility by 10 = wasted time and confusion! The divisibility rule for 10 only requires the last digit. Always look at just the final digit - if it's 0, the number is divisible by 10.

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 does the divisibility rule for 10 only check the last digit?

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Because 10 = 2 × 5, and any number ending in 0 contains both these factors! The last digit tells us everything we need to know about divisibility by 10.

What if a number ends in 5 - is it divisible by 10?

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No! Only numbers ending in 0 are divisible by 10. Numbers ending in 5 are divisible by 5, but not by 10. For example: 25 ÷ 10 = 2.5 (not a whole number).

Do I need to do the actual division to check?

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Not usually! The divisibility rule gives you the answer instantly. But if you want to double-check, dividing 30 ÷ 10 = 3 confirms our rule worked correctly.

Are there other quick ways to check divisibility by 10?

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The last digit rule is the fastest method! You could also check if the number is divisible by both 2 and 5, but that takes longer than just looking at the final digit.

What about larger numbers like 1,230?

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Same rule applies! 1,230 ends in 0, so it's divisible by 10. The rule works for any size number - just check that last digit.

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