Q: What are the factor combinations of the number 220,101,305?

 A:
Positive:   1 x 2201013055 x 4402026143 x 5118635215 x 1023727409 x 5381452045 x 1076292503 x 8793512515 x 17587
Negative: -1 x -220101305-5 x -44020261-43 x -5118635-215 x -1023727-409 x -538145-2045 x -107629-2503 x -87935-12515 x -17587


How do I find the factor combinations of the number 220,101,305?

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 220,101,305, 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.

1 220,101,305
-1 -220,101,305

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 220,101,305.

Example:
1 x 220,101,305 = 220,101,305
and
-1 x -220,101,305 = 220,101,305
Notice both answers equal 220,101,305

With that explanation out of the way, let's continue. Next, we take the number 220,101,305 and divide it by 2:

220,101,305 ÷ 2 = 110,050,652.5

If the quotient is a whole number, then 2 and 110,050,652.5 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:

1 220,101,305
-1 -220,101,305

Now, we try dividing 220,101,305 by 3:

220,101,305 ÷ 3 = 73,367,101.6667

If the quotient is a whole number, then 3 and 73,367,101.6667 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:

1 220,101,305
-1 -220,101,305

Let's try dividing by 4:

220,101,305 ÷ 4 = 55,025,326.25

If the quotient is a whole number, then 4 and 55,025,326.25 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:

1 220,101,305
-1 220,101,305
Keep dividing by the next highest number until you cannot divide anymore.

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

15432154092,0452,50312,51517,58787,935107,629538,1451,023,7275,118,63544,020,261220,101,305
-1-5-43-215-409-2,045-2,503-12,515-17,587-87,935-107,629-538,145-1,023,727-5,118,635-44,020,261-220,101,305

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