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A 6-digit number is formed by repeating a 3-digit number, for example, 256256 or 678678 etc. Any number of this form is always exactly divisible byOptions7 only11 only13 only1001

Question

A 6-digit number is formed by repeating a 3-digit number, for example, 256256 or 678678 etc. Any number of this form is always exactly divisible byOptions7 only11 only13 only1001

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Solution

The answer is 1001.

Here's why:

A 6-digit number formed by repeating a 3-digit number can be expressed as 1001 * abc, where abc is the 3-digit number.

1001 is a composite number and its factors are 7, 11, and 13. Therefore, any number of the form 1001 * abc will be divisible by 7, 11, 13, and 1001.

So, the correct answer is 1001.

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