Question

When dividing 336 by the natural number n> 10, the remainder is 2. Then the remainder obtained by dividing 2007 by n is

Answer 1

3

Explanation:

336 / n = k + 2/n, where k is an integer

336 = kn + 2

334 = kn

2007 / n

(2004 + 3) / n

(334×6 + 3) / n

334×6/n + 3/n

6k + 3/n

The remainder is 3.