Hi, I'm hoping you can help me understand why "every number of the form abc,abc (where a, b, and c represent digits) is divisible by 7,11, and 13"

My task is to prove or disprove. So far I've been unable to disprove it with the numbers I've tried. Now I'm trying to figure out why this is so and I really don't have a clue. I will be sure to acknowledge you in my resources when I turn this problem set in to my professor.

Thank you
Pam Juckas

If 7, 11 and 13 divide abc,abc then so does 7  11  13.