a is a factor of c , so c = ka for some integer k (1)

a + b = c

So b = c -a

b = ka -a Using (1) and replacing c

b = (k-1) a Taking out a as common factor

Since k is an integer, k-1 is also an integer, call it m

b = ma (where m = k-1)

b is a multiple of a , so a is a factor of b

Secure Information

Content will be erased after question is completed.

Enter the email address associated with your account, and we will email you a link to reset your password.

Forgot your password?

Sign Up