Analyzing Divisibility: Is 16 Divided by 2 an Even Split?

Q: Why does checking just the last digit work for divisibility by 2?

Because every place value higher than ones is already divisible by 2! The tens place (10), hundreds place (100), etc. are all even numbers. So only the ones digit determines if the whole number is even or odd.

Q: What if the number ends in 0? Is that considered even?

Yes! Zero is an even number. Any number ending in 0, 2, 4, 6, or 8 is divisible by 2. So 10, 20, 30, etc. are all divisible by 2.

Q: Do I always need to do the actual division to check my answer?

Not required, but it's great practice! The divisibility rule tells you the answer instantly. Doing the division (like 16 ÷ 2 = 8) just confirms you applied the rule correctly.

Q: What's the difference between 'divisible by 2' and 'even'?

They mean exactly the same thing! If a number is divisible by 2, it's even. If it's even, it's divisible by 2. These terms are interchangeable in mathematics.

Q: Can I use this rule for bigger numbers like 1,234?

Absolutely! Just look at the last digit: 4 is even, so 1,234 is divisible by 2. The rule works for any size number - you only need to check the ones place.

Divisibility Rules with Even Numbers

Is the number 16 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

00:12 The number is 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

Understand the problem

Is the number 16 divisible by 2?

Step-by-step solution

To determine if 16 is divisible by 2, we simply apply the divisibility rule for 2. According to this rule, a number is divisible by 2 if its last digit is an even number, meaning the last digit must be 0, 2, 4, 6, or 8.

Step 1: Identify the last digit of the number 16. The last digit of 16 is 6.
Step 2: Check if the last digit 6 is even. Since 6 is an even number, this means 16 satisfies the divisibility rule for 2.

Therefore, the number 16 is indeed divisible by 2.

The correct choice, according to this analysis, is:

Yes

Final Answer

Yes

Key Points to Remember

Essential concepts to master this topic

Rule: A number is divisible by 2 if last digit is even
Technique: Check last digit of 16: 6 is even, so divisible
Check: Perform division: 16 ÷ 2 = 8 with no remainder ✓

Common Mistakes

Avoid these frequent errors

Dividing the entire number instead of checking the last digit
Don't calculate 16 ÷ 2 = 8 to check divisibility! This takes longer and misses the pattern. The divisibility rule exists to make this faster. Always check if the last digit (6) is even first.

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 checking just the last digit work for divisibility by 2?

Because every place value higher than ones is already divisible by 2! The tens place (10), hundreds place (100), etc. are all even numbers. So only the ones digit determines if the whole number is even or odd.

What if the number ends in 0? Is that considered even?

Yes! Zero is an even number. Any number ending in 0, 2, 4, 6, or 8 is divisible by 2. So 10, 20, 30, etc. are all divisible by 2.

Do I always need to do the actual division to check my answer?

Not required, but it's great practice! The divisibility rule tells you the answer instantly. Doing the division (like 16 ÷ 2 = 8) just confirms you applied the rule correctly.

What's the difference between 'divisible by 2' and 'even'?

They mean exactly the same thing! If a number is divisible by 2, it's even. If it's even, it's divisible by 2. These terms are interchangeable in mathematics.

Can I use this rule for bigger numbers like 1,234?

Absolutely! Just look at the last digit: 4 is even, so 1,234 is divisible by 2. The rule works for any size number - you only need to check the ones place.

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