Check Divisibility: Is 16 Divisible by 4?

Q: What does it mean for a number to be divisible by another?

A number is divisible by another when you can divide them and get a whole number with no leftover remainder. Like 16 ÷ 4 = 4 exactly!

Q: Do I always need to do the full division?

For simple numbers like 16 ÷ 4, yes! But you can learn divisibility rules as shortcuts. For example, any even number is divisible by 2.

Q: What if I get a decimal answer when dividing?

If you get a decimal like 16 ÷ 3 = 5.33..., then 16 is NOT divisible by 3. Divisibility means the answer must be a whole number only.

Q: How can I check my divisibility answer?

Multiply backwards! Take your quotient and multiply by the divisor. If you get the original number, it's divisible: $ 4 \times 4 = 16 $ ✓

Q: Is there a pattern for divisibility by 4?

Yes! A number is divisible by 4 if its last two digits form a number divisible by 4. Since 16 itself has only two digits and 16 ÷ 4 = 4, it works!

Divisibility Rules with Simple Division Method

Is the number 16 divisible by 4?

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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 4?

00:04 Multiply the tens digit by 2, and add the ones digit to it:

00:12 If this number is divisible by 4, then the number itself is divisible by 4

00:26 The number is divisible by 4

00:30 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 16 divisible by 4?

Step-by-step solution

We will solve the problem of determining whether 16 is divisible by 4 using a straightforward division method:

Step 1: Perform the division of 16 by 4.
Dividing $16 \div 4 = 4$ . This division results in an integer without a remainder.

Step 2: Check the result:
Since the quotient 4 is an integer and there is no remainder, 16 is divisible by 4.

In conclusion, since the division of 16 by 4 yields an integer, 16 is divisible by 4 without a remainder. Therefore, the number 16 is indeed divisible by 4.

Thus, the answer to the problem is Yes, corresponding to choice 1.

Final Answer

Yes

Key Points to Remember

Essential concepts to master this topic

Definition: A number is divisible if division gives no remainder
Method: Calculate $16 \div 4 = 4$ with remainder 0
Check: Multiply back: $4 \times 4 = 16$ confirms divisibility ✓

Common Mistakes

Avoid these frequent errors

Confusing divisibility with division results
Don't think a number isn't divisible just because the quotient is small = missing the point! Divisibility only requires no remainder, regardless of quotient size. Always focus on whether the division gives a whole number result.

Practice Quiz

Test your knowledge with interactive questions

Is the number 10 divisible by 4?

FAQ

Everything you need to know about this question

What does it mean for a number to be divisible by another?

A number is divisible by another when you can divide them and get a whole number with no leftover remainder. Like 16 ÷ 4 = 4 exactly!

Do I always need to do the full division?

For simple numbers like 16 ÷ 4, yes! But you can learn divisibility rules as shortcuts. For example, any even number is divisible by 2.

What if I get a decimal answer when dividing?

If you get a decimal like 16 ÷ 3 = 5.33..., then 16 is NOT divisible by 3. Divisibility means the answer must be a whole number only.

How can I check my divisibility answer?

Multiply backwards! Take your quotient and multiply by the divisor. If you get the original number, it's divisible: $4 \times 4 = 16$ ✓

Is there a pattern for divisibility by 4?

Yes! A number is divisible by 4 if its last two digits form a number divisible by 4. Since 16 itself has only two digits and 16 ÷ 4 = 4, it works!

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