Q: What are the factor combinations of the number 220,321,013?

 A:
Positive:   1 x 22032101311 x 2002918389 x 2475517313 x 703901719 x 306427979 x 2250473443 x 639917909 x 27857
Negative: -1 x -220321013-11 x -20029183-89 x -2475517-313 x -703901-719 x -306427-979 x -225047-3443 x -63991-7909 x -27857


How do I find the factor combinations of the number 220,321,013?

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 220,321,013, 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.

1 220,321,013
-1 -220,321,013

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 220,321,013.

Example:
1 x 220,321,013 = 220,321,013
and
-1 x -220,321,013 = 220,321,013
Notice both answers equal 220,321,013

With that explanation out of the way, let's continue. Next, we take the number 220,321,013 and divide it by 2:

220,321,013 ÷ 2 = 110,160,506.5

If the quotient is a whole number, then 2 and 110,160,506.5 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:

1 220,321,013
-1 -220,321,013

Now, we try dividing 220,321,013 by 3:

220,321,013 ÷ 3 = 73,440,337.6667

If the quotient is a whole number, then 3 and 73,440,337.6667 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:

1 220,321,013
-1 -220,321,013

Let's try dividing by 4:

220,321,013 ÷ 4 = 55,080,253.25

If the quotient is a whole number, then 4 and 55,080,253.25 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:

1 220,321,013
-1 220,321,013
Keep dividing by the next highest number until you cannot divide anymore.

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

111893137199793,4437,90927,85763,991225,047306,427703,9012,475,51720,029,183220,321,013
-1-11-89-313-719-979-3,443-7,909-27,857-63,991-225,047-306,427-703,901-2,475,517-20,029,183-220,321,013

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