Factor

18

p

+

30

q

.

*Write* *your answer as a product with a whole number greater than* *1.*

To factor the expression \(18p + 30q\), follow these steps:

1. Find the greatest common factor (GCF) of 18 and 30.  
   The GCF of 18 and 30 is 6.

2. Factor out the GCF:  
   \[
   18p + 30q = 6(3p + 5q)
   \]

So, the factored form is:
\[
6(3p + 5q)
\]

Would you like further clarification or have any additional questions?

Here are 5 related questions:
1. How do you find the greatest common factor of two numbers?
2. What are other methods of factoring algebraic expressions?
3. Can you factor expressions with three or more terms?
4. How do you apply the distributive property to check the factorization?
5. How do you handle negative numbers when factoring?

**Tip:** Always check for the greatest common factor before attempting to factor more complex expressions.

Factor 18p + 30q. Write your answer as a product with a whole number greater than 1.

Learn how to factor the algebraic expression 18p + 30q by identifying the greatest common factor (GCF). This step-by-step guide walks through factoring, applying the distributive property, and simplifying the expression. Suitable for students in Grades 6-8.

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