Q: What are the factor combinations of the number 20,204,135?

 A:
Positive:   1 x 202041355 x 40408277 x 288630535 x 577261227 x 890051135 x 178011589 x 127152543 x 7945
Negative: -1 x -20204135-5 x -4040827-7 x -2886305-35 x -577261-227 x -89005-1135 x -17801-1589 x -12715-2543 x -7945


How do I find the factor combinations of the number 20,204,135?

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 20,204,135, 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 20,204,135
-1 -20,204,135

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 20,204,135.

Example:
1 x 20,204,135 = 20,204,135
and
-1 x -20,204,135 = 20,204,135
Notice both answers equal 20,204,135

With that explanation out of the way, let's continue. Next, we take the number 20,204,135 and divide it by 2:

20,204,135 ÷ 2 = 10,102,067.5

If the quotient is a whole number, then 2 and 10,102,067.5 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 20,204,135
-1 -20,204,135

Now, we try dividing 20,204,135 by 3:

20,204,135 ÷ 3 = 6,734,711.6667

If the quotient is a whole number, then 3 and 6,734,711.6667 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 20,204,135
-1 -20,204,135

Let's try dividing by 4:

20,204,135 ÷ 4 = 5,051,033.75

If the quotient is a whole number, then 4 and 5,051,033.75 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 20,204,135
-1 20,204,135
Keep dividing by the next highest number until you cannot divide anymore.

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

157352271,1351,5892,5437,94512,71517,80189,005577,2612,886,3054,040,82720,204,135
-1-5-7-35-227-1,135-1,589-2,543-7,945-12,715-17,801-89,005-577,261-2,886,305-4,040,827-20,204,135

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