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

By the middle of the 1800s the north enjoyed which eco-nomic advantage over the south ?

From this diagram, select the pair of lines that must be parallel if angle 1 is congruent to angle 8. If there is no pair of lines, select "none".

total_coins = 0 nickel_count = int(input()) dime_count = int(input()) print(total_coins)

1.) Which of the following is the direct speech to the given indirect speech? The employee asked the director whether he could take a few days off to visit his

If a $10,000 investment earns interest of $600 in 1 year, what is its rate of return?

Which of the following statements is correct regarding solar ovens? 1. Solar oven uses renewable energy - environment-friendly, costly, and inefficient in cooki

Find the value of y in the equation attached to this question

Help, Help, Brainliest available to the best Answer!Find the Variance

82% of what number is 94.3

perpendicular to the line y =6 - 3x; passes through (-3, -1)