Q: What are the factor combinations of the number 20,021,869?

 A:
Positive:   1 x 200218697 x 286026717 x 1177757119 x 168251311 x 64379541 x 370092177 x 91973787 x 5287
Negative: -1 x -20021869-7 x -2860267-17 x -1177757-119 x -168251-311 x -64379-541 x -37009-2177 x -9197-3787 x -5287


How do I find the factor combinations of the number 20,021,869?

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 20,021,869, 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 20,021,869
-1 -20,021,869

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 20,021,869.

Example:
1 x 20,021,869 = 20,021,869
and
-1 x -20,021,869 = 20,021,869
Notice both answers equal 20,021,869

With that explanation out of the way, let's continue. Next, we take the number 20,021,869 and divide it by 2:

20,021,869 ÷ 2 = 10,010,934.5

If the quotient is a whole number, then 2 and 10,010,934.5 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 20,021,869
-1 -20,021,869

Now, we try dividing 20,021,869 by 3:

20,021,869 ÷ 3 = 6,673,956.3333

If the quotient is a whole number, then 3 and 6,673,956.3333 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 20,021,869
-1 -20,021,869

Let's try dividing by 4:

20,021,869 ÷ 4 = 5,005,467.25

If the quotient is a whole number, then 4 and 5,005,467.25 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 20,021,869
-1 20,021,869
Keep dividing by the next highest number until you cannot divide anymore.

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

17171193115412,1773,7875,2879,19737,00964,379168,2511,177,7572,860,26720,021,869
-1-7-17-119-311-541-2,177-3,787-5,287-9,197-37,009-64,379-168,251-1,177,757-2,860,267-20,021,869

More Examples

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