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

What are the solutions to the equation? х^2 + 6x = 40

Find the volume of the pyramid. Round to the nearest tenth if necessary. Question 3 options: 15,120 ft3 5,040 ft3 15,498 ft3 5,166 ft3

A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4. List the sample space of picking a blue card followed by a green card.

Tommy will spend start fraction, 1/5 of his time this weekend studying for his 4 final exams. What fraction of the weekend will he spend studying for each of hi

No ___ auxiliar de vuelo (hablar) A. Hablo B. Hablo al C. Hablo a

which are perfect square trinomials? select two options A. x^2 -9 B. x^2 -100 C. x^2 - 4x + 4 D. x^2 +10x +25 E. x^2 +15x + 36

Countries engage in proxy wars in order to: A. Push rival countries to drop out of long term arms race. B.protect their weaker allies from potential destructive

two sign of mental/emotional and socal stress

what is the 8 worth in the number 203,810

why there is gap between day and night in frigid zone