Question

Factor 30v-42.
Write your answer as a product with a whole number greater than 1.

Answer 1

To factor the expression \(30v - 42\), we first look for the greatest common factor (GCF) of the coefficients 30 and 42.

1. **Find the GCF of 30 and 42**:
- The prime factorization of 30 is \(2 \times 3 \times 5\).
- The prime factorization of 42 is \(2 \times 3 \times 7\).
- The common factors are \(2\) and \(3\).

Thus, the GCF is \(2 \times 3 = 6\).

2. **Factor out the GCF (6)**:
\[
30v - 42 = 6(5v - 7)
\]

So, the factored expression is:
\[
6(5v - 7)
\]

This is written as a product with a whole number greater than 1.