Is 60 Divisible by 4? Explore the Math Behind the Query

Q: Why do I need to look at the last two digits for divisibility by 4?

Because 100 is divisible by 4 (100 ÷ 4 = 25), any multiple of 100 is also divisible by 4. So you only need to check if the remaining two digits form a number divisible by 4!

Q: What if the number has only one digit, like 8?

Treat single digits as two-digit numbers with a leading zero. So 8 becomes "08" and you check if 08 (which is just 8) is divisible by 4. Since 8 ÷ 4 = 2, yes it is!

Q: Is there a faster way than doing the division?

You can memorize common two-digit multiples of 4: 04, 08, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96. If the last two digits match any of these, the number is divisible by 4!

Q: What happens if I get a remainder when dividing by 4?

If there's any remainder at all, the number is not divisible by 4. For example, $ \frac{62}{4} = 15.5 $, so 62 is not divisible by 4 because we don't get a whole number.

Divisibility Rules with Two-Digit Numbers

Is the number 60 divisible by 4?

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Step-by-step video solution

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00:00 Is the number divisible by 4?

00:03 Multiply the tens digit by 2, and add the ones digit to it

00:07 If this number is divisible by 4, then the number itself is divisible by 4

00:18 The number is divisible by 4

00:23 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Is the number 60 divisible by 4?

Step-by-step solution

To determine if the number 60 is divisible by 4, we will apply the divisibility rule for 4:

According to the rule, a number is divisible by 4 if the number formed by its last two digits is divisible by 4.
In this case, the last two digits of 60 are "60".
We need to check if 60 is divisible by 4. This involves dividing 60 by 4:

$\frac{60}{4} = 15$

The division yields a quotient of 15 with no remainder, which indicates that 60 is indeed divisible by 4.

Given that the quotient is a whole number, we can confidently conclude that the number 60 is divisible by 4.

Hence, the answer to the question is Yes.

Final Answer

Yes

Key Points to Remember

Essential concepts to master this topic

Rule: A number is divisible by 4 if its last two digits are divisible by 4
Technique: Check 60 ÷ 4 = 15 with no remainder
Check: Verify by multiplication: 15 × 4 = 60 exactly ✓

Common Mistakes

Avoid these frequent errors

Checking only the last digit instead of last two digits
Don't just look at the 0 in 60 and think about divisibility by 4 = wrong method! The rule specifically requires checking the last TWO digits together. Always examine the complete two-digit number (60) when testing divisibility by 4.

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 need to look at the last two digits for divisibility by 4?

Because 100 is divisible by 4 (100 ÷ 4 = 25), any multiple of 100 is also divisible by 4. So you only need to check if the remaining two digits form a number divisible by 4!

What if the number has only one digit, like 8?

Treat single digits as two-digit numbers with a leading zero. So 8 becomes "08" and you check if 08 (which is just 8) is divisible by 4. Since 8 ÷ 4 = 2, yes it is!

Is there a faster way than doing the division?

You can memorize common two-digit multiples of 4: 04, 08, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96. If the last two digits match any of these, the number is divisible by 4!

What happens if I get a remainder when dividing by 4?

If there's any remainder at all, the number is not divisible by 4. For example, $\frac{62}{4} = 15.5$ , so 62 is not divisible by 4 because we don't get a whole number.

Can I use this rule for larger numbers like 12,360?

Absolutely! Just look at the last two digits: 60. Since we know 60 ÷ 4 = 15 exactly, the entire number 12,360 is divisible by 4. The rule works for any size number!

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