Solving an example MinuPlu

The single cell in the upper right corner is already determined to contain the 1.
For the region [36 ×] we write down the prime factorization of the number 36: 36 = 2×2×3×3×1×…
(i.e. we factorize the number until all factors are prime (indivisible) such as 2, 3, 5, … )
This prime factorization helps us to find all possibilties for making 36 out of 3 numbers. Keep in mind that also the number 1 can be a factor!
In the above case, combining 2 and 3 would yield 6 (too great for our 4×4-MinuPlu). Combining 3 and 3 would give 9 (also too great). But we can combine 2 and 2 to get 4 and thus to have exactly three numbers: 36 = 4×3×3
This is the only possibility in this case.

Again, there is only one possibilty to arrange these three numbers in the region so that the two 3's are not in the same row or column.

Now it is clear that the missing cell in the first row has to be a 2.

In the second column, 1 and 2 are still missing. To remeber this, we make an annotation. Click outside the MinuPlu to enter your annotation. Then you can drag it into the MinuPlu with your mouse. (Learn more here.)

Since we know that the 1 and 2 have to be in the second column (only the exact positions are not clear yet), we know that it is a 3 which is missing in the region [6 +] to yield 6 = 1 + 2 + 3.

Now let us consider the region [5 +].
There are two possibilities: 5 = 4 + 1 = 3 + 2.
Since there is already a 3 in the third column, 5 = 4 + 1 is the only option here. We make note of this fact. However, the exact order of the two numbers is still unknown.

The second cell in the third column must be a 2.
The other cell of the region [2 ÷] could be 1 or 4 because 2 = 4 ÷ 2 = 2 ÷ 1.
But since in the fourth column there is already a 1, the number 4 must be put in the region [2 ÷].

Now the second row can be completed by a 1.
After that, the first column can be finished, too.

At this moment, the order of the numbers of regions [5 +] and afterwards the order of region [6 +] is clear.

The two missing numbers are found easily.

You solved your first MinuPlu!