Q: What are the factor combinations of the number 106,236,163?

 A:
Positive:   1 x 10623616311 x 965783319 x 559137731 x 3426973209 x 508307341 x 311543361 x 294283589 x 180367863 x 1231013971 x 267536479 x 163979493 x 11191
Negative: -1 x -106236163-11 x -9657833-19 x -5591377-31 x -3426973-209 x -508307-341 x -311543-361 x -294283-589 x -180367-863 x -123101-3971 x -26753-6479 x -16397-9493 x -11191


How do I find the factor combinations of the number 106,236,163?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 106,236,163, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 106,236,163
-1 -106,236,163

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 106,236,163.

Example:
1 x 106,236,163 = 106,236,163
and
-1 x -106,236,163 = 106,236,163
Notice both answers equal 106,236,163

With that explanation out of the way, let's continue. Next, we take the number 106,236,163 and divide it by 2:

106,236,163 ÷ 2 = 53,118,081.5

If the quotient is a whole number, then 2 and 53,118,081.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 106,236,163
-1 -106,236,163

Now, we try dividing 106,236,163 by 3:

106,236,163 ÷ 3 = 35,412,054.3333

If the quotient is a whole number, then 3 and 35,412,054.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 106,236,163
-1 -106,236,163

Let's try dividing by 4:

106,236,163 ÷ 4 = 26,559,040.75

If the quotient is a whole number, then 4 and 26,559,040.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 106,236,163
-1 106,236,163
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

11119312093413615898633,9716,4799,49311,19116,39726,753123,101180,367294,283311,543508,3073,426,9735,591,3779,657,833106,236,163
-1-11-19-31-209-341-361-589-863-3,971-6,479-9,493-11,191-16,397-26,753-123,101-180,367-294,283-311,543-508,307-3,426,973-5,591,377-9,657,833-106,236,163

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