15n=90. What are the factors in this equation

To solve the equation \(15n = 90\), let's go step-by-step to determine the factors involved. 

### Step 1: Solve for \(n\).
Divide both sides by 15:

\[
n = \frac{90}{15} = 6
\]

So, \(n = 6\). 

### Step 2: Identify Factors.  
- **Factors of 15:** \(1, 3, 5, 15\)
- **Factors of 90:** \(1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90\)

In this equation, both sides relate through **multiplication** and the factors contribute as follows:
- \(15\) is a **coefficient** for \(n\).
- \(n = 6\) is a **solution**, and **6 is also a factor** of 90 since \(15 \times 6 = 90\).

### Step 3: Factor Relations.
The equation shows:
- **15** (on the left) is a factor of **90** (on the right). Specifically:
  \[90 \div 15 = 6\]
  
This means **15 and 6** are multiplicative factors contributing to 90. 

Would you like further clarification on the concept of factors?

---

1. What are the prime factors of 15 and 90?
2. How do you solve equations involving factors and coefficients?
3. What is the greatest common divisor (GCD) of 15 and 90?
4. How are multiples related to factors in such equations?
5. Can factorization help with more complex algebraic equations?

**Tip:** In equations like \(15n = 90\), always isolate the variable by dividing both sides by the coefficient.

15n=90. What are the factors in this equation?

Learn how to solve the equation 15n = 90 step by step. This problem involves identifying the factors of 15 and 90, solving for n, and understanding the relationship between multiplication and factorization. Suitable for students in Grades 6-8.

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