Factor 14w–63x. Write your answer as a product with a whole number greater than 1.

Answer 1

Do a prime factorization of each term:

1. 14w = 2·7·w
2. 63x = 3·3·7·x

The only factor they have in common is a 7, so factor that out:

14w - 63x = (2·7·w - 3·3·7·x) = 7·(2w - 9x)

Answer 2

Factor 14w–63x. Write your answer as a product with a whole number greater than 1.

Here is how you would do a problem like this. I am going to use different numbers as an example.

12w-21x

For this question, we want to find the greatest common factor of 12 and 21. Let's list the factors of each number.

12: 1, 2, 3, 4, 6,12

21: 1, 3, 7,21

Now that we have listed all the factors, look for the highest number they have in common. In this case, the GCF is 3.

So you would factor 3 out of both terms. You are left with 3(4w-7x)

Apply the same concepts to any problem like this. I hope this helps.