To find the integer that is equal to \(5! \times 2!\), we need to calculate the factorial of 5 and the factorial of 2, and then multiply the results.

### Step-by-Step Calculation

1. **Calculate \(5!\) (5 factorial):**
   \[
   5! = 5 \times 4 \times 3 \times 2 \times 1 = 120
   \]

2. **Calculate \(2!\) (2 factorial):**
   \[
   2! = 2 \times 1 = 2
   \]

3. **Multiply the results:**
   \[
   5! \times 2! = 120 \times 2 = 240
   \]

Thus, the integer equal to \(5! \times 2!\) is:
\[
\boxed{240}
\]

Would you like further details or have any questions?

### Relative Questions:
1. What is the value of \(6!\)?
2. How does factorial growth compare to exponential growth?
3. What is \(7! \times 3!\)?
4. How do you simplify \(\frac{5!}{2!}\)?
5. What are some applications of factorials in probability and statistics?
6. How do you calculate combinations using factorials?
7. What is the value of \(10!\)?
8. How do you express \(n!\) for a general positive integer \(n\)?

### Tip:
Factorials grow very quickly as the number increases. They are commonly used in permutations, combinations, and other areas of mathematics involving counting and arrangements.

Learn how to calculate the integer that equals 5 factorial times 2 factorial with a detailed step-by-step solution. This problem involves factorials and multiplication of factorials, suitable for students in Grades 6-8.

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