# Divisible 79464

The teacher wrote a number less than 50,000 on the board.

The first student said: This number is divisible by 2

The second student said: This number is divisible by 3

And so on, down to the last one who claimed it was divisible by 13. Two in a row lied.

What number did the teacher write, and which two lied?

The first student said: This number is divisible by 2

The second student said: This number is divisible by 3

And so on, down to the last one who claimed it was divisible by 13. Two in a row lied.

What number did the teacher write, and which two lied?

## Correct answer:

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