The number 36 can be expressed as a product of different pairs of integers, which we can refer to as its "factor pairs." These are known as the different **factorizations** or **mixes** of 36.

The factors of 36 are:  
\( 1, 2, 3, 4, 6, 9, 12, 18, 36 \).

Now, the **factor pairs** (mixes) of 36 are:

\[
\begin{aligned}
1 \times 36 &= 36 \\
2 \times 18 &= 36 \\
3 \times 12 &= 36 \\
4 \times 9 &= 36 \\
6 \times 6 &= 36
\end{aligned}
\]

These are the possible unique "mixes" or combinations of factors that multiply to give 36.

### Summary of factor pairs (mixes):
- \( 1 \times 36 \)
- \( 2 \times 18 \)
- \( 3 \times 12 \)
- \( 4 \times 9 \)
- \( 6 \times 6 \)

Would you like further details, or do you have any questions?

### Related questions:
1. What are the prime factors of 36?
2. How can 36 be represented as a sum of squares?
3. How can 36 be expressed as a product of three factors?
4. What is the least common multiple (LCM) of 36 and another number?
5. What are the divisors of 36?

### Tip:
Factorization is a key concept used to simplify equations, especially in algebra and number theory!

Understand the different factor pairs or mixes of the number 36 through this detailed guide. Learn about number theory, factorization, and multiplication, including the fundamental theorem of arithmetic. Suitable for students in Grades 4-6.

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