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Factor 30v-42.

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

1 answer

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.