Q: What are the factor combinations of the number 220,209,997?

 A:
Positive:   1 x 2202099977 x 31458571101 x 2180297331 x 665287707 x 311471941 x 2340172317 x 950416587 x 33431
Negative: -1 x -220209997-7 x -31458571-101 x -2180297-331 x -665287-707 x -311471-941 x -234017-2317 x -95041-6587 x -33431


How do I find the factor combinations of the number 220,209,997?

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 220,209,997, 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.

1 220,209,997
-1 -220,209,997

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 220,209,997.

Example:
1 x 220,209,997 = 220,209,997
and
-1 x -220,209,997 = 220,209,997
Notice both answers equal 220,209,997

With that explanation out of the way, let's continue. Next, we take the number 220,209,997 and divide it by 2:

220,209,997 ÷ 2 = 110,104,998.5

If the quotient is a whole number, then 2 and 110,104,998.5 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:

1 220,209,997
-1 -220,209,997

Now, we try dividing 220,209,997 by 3:

220,209,997 ÷ 3 = 73,403,332.3333

If the quotient is a whole number, then 3 and 73,403,332.3333 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:

1 220,209,997
-1 -220,209,997

Let's try dividing by 4:

220,209,997 ÷ 4 = 55,052,499.25

If the quotient is a whole number, then 4 and 55,052,499.25 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:

1 220,209,997
-1 220,209,997
Keep dividing by the next highest number until you cannot divide anymore.

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

171013317079412,3176,58733,43195,041234,017311,471665,2872,180,29731,458,571220,209,997
-1-7-101-331-707-941-2,317-6,587-33,431-95,041-234,017-311,471-665,287-2,180,297-31,458,571-220,209,997

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