Q: What are the factor combinations of the number 20,009,395?

 A:
Positive:   1 x 200093955 x 40018797 x 285848535 x 57169749 x 408355245 x 81671
Negative: -1 x -20009395-5 x -4001879-7 x -2858485-35 x -571697-49 x -408355-245 x -81671


How do I find the factor combinations of the number 20,009,395?

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 20,009,395, 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 20,009,395
-1 -20,009,395

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 20,009,395.

Example:
1 x 20,009,395 = 20,009,395
and
-1 x -20,009,395 = 20,009,395
Notice both answers equal 20,009,395

With that explanation out of the way, let's continue. Next, we take the number 20,009,395 and divide it by 2:

20,009,395 ÷ 2 = 10,004,697.5

If the quotient is a whole number, then 2 and 10,004,697.5 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 20,009,395
-1 -20,009,395

Now, we try dividing 20,009,395 by 3:

20,009,395 ÷ 3 = 6,669,798.3333

If the quotient is a whole number, then 3 and 6,669,798.3333 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 20,009,395
-1 -20,009,395

Let's try dividing by 4:

20,009,395 ÷ 4 = 5,002,348.75

If the quotient is a whole number, then 4 and 5,002,348.75 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 20,009,395
-1 20,009,395
Keep dividing by the next highest number until you cannot divide anymore.

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

157354924581,671408,355571,6972,858,4854,001,87920,009,395
-1-5-7-35-49-245-81,671-408,355-571,697-2,858,485-4,001,879-20,009,395

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