Which of the following statement is correct regarding the number 4344...
Given:
The given number = 434434
Concept used:
(1.) abcabc is divisible by 1001.
(2.) If x is divisible by y, then x is also divisible by the factors of y.
Calculation:
According to the question,
Let N = 434434
It can be written as:
⇒ 434434 = 434000 + 434
⇒ 434434 = 434 × (1000 + 1)
⇒ 434434 = 434 × (1001)
It can be interpreted as 434434 is divisible by 434 and 1001.
Now,
Factors of 1001 = 7 × 11 × 13
Since 434434 is divisible by 1001,
Therefore, 434434 is also divisible by 7, 11 and 13.
Therefore, 'Option C' is the correct answer.