Q: What are the factor combinations of the number 20,028,755?

 A:
Positive:   1 x 200287555 x 400575119 x 105414543 x 46578595 x 210829215 x 93157817 x 245154085 x 4903
Negative: -1 x -20028755-5 x -4005751-19 x -1054145-43 x -465785-95 x -210829-215 x -93157-817 x -24515-4085 x -4903


How do I find the factor combinations of the number 20,028,755?

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 20,028,755, 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 20,028,755
-1 -20,028,755

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 20,028,755.

Example:
1 x 20,028,755 = 20,028,755
and
-1 x -20,028,755 = 20,028,755
Notice both answers equal 20,028,755

With that explanation out of the way, let's continue. Next, we take the number 20,028,755 and divide it by 2:

20,028,755 ÷ 2 = 10,014,377.5

If the quotient is a whole number, then 2 and 10,014,377.5 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 20,028,755
-1 -20,028,755

Now, we try dividing 20,028,755 by 3:

20,028,755 ÷ 3 = 6,676,251.6667

If the quotient is a whole number, then 3 and 6,676,251.6667 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 20,028,755
-1 -20,028,755

Let's try dividing by 4:

20,028,755 ÷ 4 = 5,007,188.75

If the quotient is a whole number, then 4 and 5,007,188.75 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 20,028,755
-1 20,028,755
Keep dividing by the next highest number until you cannot divide anymore.

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

151943952158174,0854,90324,51593,157210,829465,7851,054,1454,005,75120,028,755
-1-5-19-43-95-215-817-4,085-4,903-24,515-93,157-210,829-465,785-1,054,145-4,005,751-20,028,755

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