Through observation, we can find that the dividend can be divided by only two! Then (dividend +2) can be divisible by 3, 4, 5, 6! Then finding this minimum natural number is transformed into finding the minimum common multiple of 3, 4, 5 and 6! The common multiple of several numbers is called the common multiple of these numbers, and the smallest is called the least common multiple of these numbers. )

That is, [3,4,5,6] = 60

So the minimum natural number needed is: 60-2=58.

For this kind of problem, the same number can be divided by so many numbers (for example, there is a minimum natural number divided by 3 1, divided by 4 1, divided by 5 1, divided by 6 1) or divided by the same number. For other types, it can only be solved by indefinite equations!

If you are interested, do this problem:

A natural number is divided by 6 by 3, 7 by 5, 8 by 4 and 9 by 6. What is the smallest natural number?

Problems like this can only be solved with congruence knowledge. Which is the indefinite equation!

For this question, the reference answer is: there is no such natural number! Take your time, I believe you will understand!