gustavrubioo1010 gustavrubioo1010

03-03-2022
Mathematics

contestada

Prove that any number n of the form abcabc, where a, b, and c are decimal digits, is divisible by 7, 11 and 13.

Respuesta :

LammettHash LammettHash

04-03-2022

We can factorize abcabc as

abcabc = abc000 + abc

abcabc = abc (1000 + 1)

abcabc = abc × 1001

abcabc = abc × 7 × 11 × 13

so naturally each of 7, 11, and 13 must divide abcabc.

Answer Link

Otras preguntas

A rectangle wall has an area of 400ft. To paint the wall you used 1000 lbs of paint. How many square feet of the wall can be painted for every pound of paint?

You are using an electrical micro hematocrit centrifuge to spin blood. You see smoke coming from the back of the machine. What should you do?

The spinner is spun twice what is the probability that the arrow lands on 4 after the first spin and doesn't land on 4 after the second spin

How is the desert ecosystem the same from the rainforest ecosystem?

typical housing lease may require a tenant to

in this excerpt from "Colonialism in the United States" by Henry C. Lodge, which word is closest in meaning to the word indelibly?

How does the cuban missile crisis reflect USAs foreign policy?

A battery powered electric motor uses what type of current?

How many holocaust survivors are still alive 2017?

Where did Bessie Coleman learn to fly a plane? a. France b. Germany c. Canada d. Great Britain