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Factor 24u+18.

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

1 answer

To factor the expression \( 24u + 18 \), we start by finding the greatest common factor (GCF) of the coefficients 24 and 18.

  1. List the factors:

    • The factors of 24 are: \( 1, 2, 3, 4, 6, 8, 12, 24 \)
    • The factors of 18 are: \( 1, 2, 3, 6, 9, 18 \)

  2. The GCF of 24 and 18 is 6.

Now, we can factor out the GCF (6) from the expression:

\[ 24u + 18 = 6(4u + 3) \]

Thus, the factored form of \( 24u + 18 \) is:

\[ \boxed{6(4u + 3)} \]

This represents the expression as a product with a whole number greater than 1.