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

Bella serves pizza at her party. each pizza is cut into 6 equal slices. there are 13/6 pizzas left after three party is over. the slices are in 3 different pizz

Simplify. Write in radical form. (x^3y^-2/xy)^-1/5

Under feudalism, the king owned all of the land and distributed it amongst lords who gave an oath of _______, or loyalty. fidelity fealty vassaly chivalry

European civilization was formed by Germanic peoples, the Christian church, and the ...

During the 1920s, European nations retaliated against U.S. tariff hikes by increasing their own tariffs. Rising tariffs resulted in __________. European countri

Which founding father worked to establish a separation between church and government by drafting the Virginia Bill of Establishing Religious Freedom? a.Patrick

Why do you need to draw a circle around each seismograph center, using the distance to the epicenter as the radius?

number that best completes sequence 3 9 4 5 25 20 21 441

16.686 rounded to the nearest hundredth

name one type of cell that uses active transport