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

An experienced dental assistant is instructed by the orthodontist to train the new assistant so that she can be an effective member of the orthodontic team. Wha

Consider Hermann Goering’s behavior at the trial. Why did he behave the way he did and how does that play into his eventual death

Mackenzie ha ome red, yellow and blue marble. She ha 3200 more red marble than yellow marble. She ha 3840 more blue than yellow. She give 1490 blue marble away.

What year did the orthodox church influence unification?

Supposed that on January 1 you have a balance of $5600 on a credit cars whose APR is 17%, which you want to pay off in 1 year. Assume that you make no additiona

Given the following information, calculate the product cot per unit. Direct material = $28,000 Direct labor = $42,000. Overhead application rate = $15 per direc

Commercial methods for making fatty acid methyl esters (FAMEs): • Base-catalyzed transesterification of the oil with ________________.

Place the events of excitation contraction coupling in order from the action potential being produced at the neuromuscular junction to finish. a. Ca2+ diffuses

The magnitude of operating leverage for perkins corporation is 4. 5 when sales are $100,000. If sales increase to $110,000, profits would be expected to increas

Explain how sharp disagreements can occur on the supreme court about how race can be used in school assignment plans.