Is 61 Divisible by 10? The Simple Test Explained

Divisibility Rules with Single-Digit Endings

Is the number 61 divisible by 10?

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Step-by-step video solution

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00:00 Is the number divisible by 10?
00:03 A number divisible by 10 is a number with 0 as its ones digit
00:07 The number is not divisible by 10
00:10 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Is the number 61 divisible by 10?

2

Step-by-step solution

To determine if 61 is divisible by 10, we use the divisibility rule for 10:

  • A number is divisible by 10 if and only if its last digit is 0.

Let's apply this rule to the number 61:

  • The last digit of 61 is 1.
  • Since 1 is not 0, 61 does not satisfy the divisibility rule for 10.

Therefore, we conclude that 61 is not divisible by 10.

Hence, the correct answer is: No.

3

Final Answer

No

Key Points to Remember

Essential concepts to master this topic
  • Rule: Numbers are divisible by 10 only when ending in 0
  • Technique: Check the last digit of 61, which is 1
  • Check: Since 61 ÷ 10 = 6.1 (not whole), 61 is not divisible ✓

Common Mistakes

Avoid these frequent errors
  • Trying to perform long division instead of using the rule
    Don't calculate 61 ÷ 10 = 6.1 to check divisibility! This wastes time and can lead to calculation errors. Always use the divisibility rule: only numbers ending in 0 are divisible by 10.

Practice Quiz

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Is the number 43 divisible by 4?

FAQ

Everything you need to know about this question

Why do numbers need to end in 0 to be divisible by 10?

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Because 10 = 2 × 5, any number divisible by 10 must be divisible by both 2 and 5. Numbers ending in 0 are automatically even (divisible by 2) and end in 0 or 5 (divisible by 5)!

What if the number is really big? Do I still just check the last digit?

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Yes! Whether it's 61, 1,234,567, or even 999,999,991, you only need to look at the last digit. If it's not 0, the number isn't divisible by 10.

Can I use a calculator to check divisibility?

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You can, but it's much faster to use the rule! If you do use a calculator and get a decimal result (like 6.1), then the number is not divisible by 10.

Are there similar rules for other numbers?

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Absolutely! For example: divisible by 2 if ending in 0,2,4,6,8; divisible by 5 if ending in 0 or 5. These divisibility rules are huge time-savers!

What does 'divisible' actually mean?

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A number is divisible by another if you can divide it evenly with no remainder. So 20 ÷ 10 = 2 exactly, but 61 ÷ 10 = 6 remainder 1.

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