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 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

Which answer is it please anybody
Add or remove commas King Charles asked the two,wise,monkeys for their advice.
Calculate the energy released when a 28.9 gram piece of copper is cooled from its melting point of 1083 C to 25.0 c the specific heat of copper is .385 j/g c
please help.. with 6 & 15 ​
Inferences about Data Distributions choices mean is higher than the median median is higher than the mean same mean, different standard deviation same standard
Help anyone please !!!! Will mark whoever comment first as brain-list
where do I find detailed professor feedback on my papers?
One surprising fact of the animal kingdom is that only approximately 5% of animals are classified into which group? A. Insects B. Invertebrates C.
Write an equation of the direct variation that includes the point (5,1)
A rectangular prism has a volume of 2320.5 in.? a width of 12.75 inches and a height of 14 inches what is the length?