MOD() function has variety of uses. One of the most basic one is that it is used to find the remainder from a division. Just to illustrate if we divide 5 by 2, we will have 1 as a remainder. The formula uses the syntax =MOD(number, divisor).
In this post we will see how we can create number patterns that repeat their selves with this formula. For example in the following picture, A is repeated at an interval of 6. We will learn how we can do it.
Doing this manually for large repeats would be troublesome. For this case, we will be using the COLUMN() function (since our data is positioned in a row).
Let’s see how we should proceed.
Since our data is in a row, we will add a helper row. This helper row will contain a formula that will check the remainder from the division of column number with the repeat. The row will be followed by another row that will check if the column number divided by the repeat is what we are looking for. The entire setup looks like following picture
The column row uses the formula: =COLUMN() to give the current’s column’s number.
The Remainder row used formula: =MOD(A4,$D$1) to give remainder.
After setting up these two rows, we can put an IF() in action to see where we need to repeat the next. The logic works this way –if the value in the remainder row is zero, I will A to appear in the cell just below it”. Now this could be achieved using …
…simply checking if the value is 1 or not. All this results in the following pattern:
The combined formula for the case is =IF(MOD(COLUMN(),$D$1)=1,"A","")
Another variation could be this type of repeat:
We will go in a similar way as we have done earlier. We will setup a helper row that will mention the column number and another one following it to divide the column number with the desired repeat.
In next step we will add yet another row to roundup values to the nearest digit.
The roundup formula used for this case is: =ROUNDUP(A4/$D$1,0)
As a last step we will setup a Lookup Table that will have all the desired value we want to fetch according to the rounded up values. The table looks like following:
In another row we will add the formula: =VLOOKUP(A6,$H$11:$I$16,2,0) and drag to right to get us the final answer like following:
All these steps can be accommodated into the following single formula: