**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?

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

1. 60479

ReplyDeleteWhat about 7559 ?

ReplyDelete2519

ReplyDeleteThere are many numbers and 2519 is the smallest number

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.

ReplyDeletethe smallest no. is 2519

ReplyDelete2519 is the smallest

ReplyDelete