Factor 40q–72r.

Question

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

Answer 1

To factor the expression $40q-72r$, we first need to find the greatest common factor (GCF) of the coefficients 40 and 72.

1. Find the GCF:

   • The prime factorization of 40 is $2^3\times 5$.
   • The prime factorization of 72 is $2^3\times 3^2$.
   • The GCF is $2^3=8$.

2. Factor out the GCF from the expression: $$40q-72r=8(5q-9r)$$

Thus, the factored form is:

$$\boxed{{\displaystyle 8(5q-9r)}}$$