Solve the Division Problem: How Many Cookies Did Sarah Buy to Share Equally?

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

This is a divisibility rule shortcut! A number is divisible by 4 if its last two digits form a number divisible by 4. So instead of dividing 316 by 4, just check if 16 is divisible by 4.

Q: What if the number ends in 00?

Numbers ending in 00 are always divisible by 4! Examples: 100, 200, 300. Since $00 \div 4 = 0$, these numbers pass the divisibility test.

Q: Can I just divide each answer choice by 4?

Yes, but the last two digits method is faster! You only need to check if 16, 15, 14, or 13 divides by 4, instead of doing full division with larger numbers.

Q: What does 'distributed equally' mean in math problems?

Equal distribution means each person gets exactly the same amount with no cookies left over. This requires the total to be evenly divisible by the number of people.

Divisibility Rules with Equal Distribution

Sarah bought cookies and distributed them equally to four friends.

How many cookies does Sarah buy?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Choose a number divisible by 4

00:03 A number where its last 2 digits are divisible by 4 is divisible by 4

00:09 Let's check each number using this method and choose the number divisible by 4

00:31 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

Sarah bought cookies and distributed them equally to four friends.

How many cookies does Sarah buy?

Step-by-step solution

To solve this problem, we'll follow these steps:

Check each multiple-choice option to see if it is divisible by 4 using the last two digits of each number.

Let's apply the solution:

Choice 1: $316$
The last two digits are $16$ . Check divisibility by 4: $16 \div 4 = 4$ , exactly divisible.

Choice 2: $315$
The last two digits are $15$ . Check divisibility by 4: $15 \div 4 = 3.75$ , not exactly divisible.

Choice 3: $314$
The last two digits are $14$ . Check divisibility by 4: $14 \div 4 = 3.5$ , not exactly divisible.

Choice 4: $313$
The last two digits are $13$ . Check divisibility by 4: $13 \div 4 = 3.25$ , not exactly divisible.

Therefore, the solution to the problem is $316$ , as it is the only number that is divisible by 4.

Final Answer

316

Key Points to Remember

Essential concepts to master this topic

Rule: Number must be divisible by 4 for equal sharing
Technique: Check last two digits: $16 \div 4 = 4$ exactly
Check: Verify $316 \div 4 = 79$ cookies per friend ✓

Common Mistakes

Avoid these frequent errors

Forgetting to check divisibility before selecting answer
Don't just guess the largest number = wrong answer! Without checking divisibility by 4, you might pick 315, 314, or 313 which don't divide evenly. Always test each option using the divisibility rule for 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 only need to check the last two digits for divisibility by 4?

This is a divisibility rule shortcut! A number is divisible by 4 if its last two digits form a number divisible by 4. So instead of dividing 316 by 4, just check if 16 is divisible by 4.

What if the number ends in 00?

Numbers ending in 00 are always divisible by 4! Examples: 100, 200, 300. Since $00 \div 4 = 0$ , these numbers pass the divisibility test.

Can I just divide each answer choice by 4?

Yes, but the last two digits method is faster! You only need to check if 16, 15, 14, or 13 divides by 4, instead of doing full division with larger numbers.

What does 'distributed equally' mean in math problems?

Equal distribution means each person gets exactly the same amount with no cookies left over. This requires the total to be evenly divisible by the number of people.

How do I know 316 is the right answer without doing full division?

Use the divisibility rule! Since 16 ÷ 4 = 4 exactly, we know 316 is divisible by 4. The other choices (15, 14, 13) don't divide evenly by 4, so they can't work for equal sharing.

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