Q: What are the factor combinations of the number 20,199,995?

 A:
Positive:   1 x 201999955 x 403999917 x 118823585 x 237647107 x 188785535 x 377571819 x 111052221 x 9095
Negative: -1 x -20199995-5 x -4039999-17 x -1188235-85 x -237647-107 x -188785-535 x -37757-1819 x -11105-2221 x -9095


How do I find the factor combinations of the number 20,199,995?

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 20,199,995, 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 20,199,995
-1 -20,199,995

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 20,199,995.

Example:
1 x 20,199,995 = 20,199,995
and
-1 x -20,199,995 = 20,199,995
Notice both answers equal 20,199,995

With that explanation out of the way, let's continue. Next, we take the number 20,199,995 and divide it by 2:

20,199,995 ÷ 2 = 10,099,997.5

If the quotient is a whole number, then 2 and 10,099,997.5 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 20,199,995
-1 -20,199,995

Now, we try dividing 20,199,995 by 3:

20,199,995 ÷ 3 = 6,733,331.6667

If the quotient is a whole number, then 3 and 6,733,331.6667 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 20,199,995
-1 -20,199,995

Let's try dividing by 4:

20,199,995 ÷ 4 = 5,049,998.75

If the quotient is a whole number, then 4 and 5,049,998.75 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 20,199,995
-1 20,199,995
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851075351,8192,2219,09511,10537,757188,785237,6471,188,2354,039,99920,199,995
-1-5-17-85-107-535-1,819-2,221-9,095-11,105-37,757-188,785-237,647-1,188,235-4,039,999-20,199,995

More Examples

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