Blanca has \[32\] marbles. She wants to put her marbles into bags so each bag has the same number of marbles and no marbles are left over.

**Use what you know about factor pairs to complete the table.**

Number of BagsMarbles per bag

\[1\]

\[16\]

\[4\]

To solve this problem, you need to determine how many marbles Blanca will have per bag for different numbers of bags. Each number of bags should correspond to a factor of 32. Here's how you can complete the table:

1. **Number of Bags: \(1\)**  
   - Marbles per bag: \(32 \div 1 = 32\)

2. **Number of Bags: \(16\)**  
   - Marbles per bag: \(32 \div 16 = 2\)

3. **Number of Bags: \(4\)**  
   - Marbles per bag: \(32 \div 4 = 8\)

Now let's list out the factor pairs of 32 and fill in any missing parts of the table:

- Factor pairs of 32 are:  
  - \(1 \times 32\)  
  - \(2 \times 16\)  
  - \(4 \times 8\)

So the completed table should look like this:

| **Number of Bags** | **Marbles per Bag** |
|-------------------|---------------------|
| 1                 | 32                  |
| 2                 | 16                  |
| 4                 | 8                   |
| 8                 | 4                   |
| 16                | 2                   |
| 32                | 1                   |

Do you want more details or have any questions?

Here are 8 related questions you might consider:
1. What are all the factors of 32?
2. How would you find the number of marbles per bag if Blanca used 3 bags?
3. What is the greatest number of bags Blanca could use and still have an equal number of marbles in each?
4. How would this change if Blanca had 30 marbles?
5. What is the prime factorization of 32?
6. How do factor pairs help in finding the divisors of a number?
7. How could Blanca arrange her marbles if she wanted each bag to have 4 marbles?
8. Is 32 a perfect square, and how does that affect its factors?

**Tip:** Understanding factors can help in dividing items equally, which is useful in tasks like packing or grouping.

Explore how Blanca divides her 32 marbles into bags with equal numbers using factor pairs. Learn the concept of division, factors, and multiplication in this elementary math problem suitable for Grades 3-4.

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