Ask a New Question
Menu

Factor 21q+56.

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

1 answer

To factor the expression \( 21q + 56 \), we start by finding the greatest common factor (GCF) of the coefficients 21 and 56.

  1. The factors of 21 are: \( 1, 3, 7, 21 \).
  2. The factors of 56 are: \( 1, 2, 4, 7, 8, 14, 28, 56 \).

The GCF of 21 and 56 is \( 7 \).

Next, we factor out the GCF from the expression:

\[ 21q + 56 = 7(3q) + 7(8) = 7(3q + 8) \]

Thus, the factored form of \( 21q + 56 \) is:

\[ \boxed{7(3q + 8)} \]