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23march

A Remainder is chasing me Problem

I just found a number with an interesting property:
When I divide it by 2, the remainder is 1.
When I divide it by 3, the remainder is 2.
When I divide it by 4, the remainder is 3.
When I divide it by 5, the remainder is 4.
When I divide it by 6, the remainder is 5.
When I divide it by 7, the remainder is 6.
When I divide it by 8, the remainder is 7.
When I divide it by 9, the remainder is 8.
When I divide it by 10, the remainder is 9.
It's not a small number, but it's not really big, either. When I looked for a smaller number with this property I couldn't find one.
Can you find it?

For Solution: Click Here

6 comments:

  1. What about 7559 ?

    ReplyDelete
  2. 2519
    There are many numbers and 2519 is the smallest number

    ReplyDelete
  3. Add 1 and you have a multiple of 2, 3, 4, 5, 6, 7, 8, 9 and 10. The smallest number that satisfies is 5*7*8*9 and this is 2520 so the original number is 2519.

    ReplyDelete
  4. 2519 is the smallest

    ReplyDelete