Q: What are the factor combinations of the number 220,010,231?

 A:
Positive:   1 x 2200102317 x 3143003343 x 5116517301 x 730931389 x 5655791879 x 1170892723 x 8079713153 x 16727
Negative: -1 x -220010231-7 x -31430033-43 x -5116517-301 x -730931-389 x -565579-1879 x -117089-2723 x -80797-13153 x -16727


How do I find the factor combinations of the number 220,010,231?

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 220,010,231, 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.

1 220,010,231
-1 -220,010,231

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 220,010,231.

Example:
1 x 220,010,231 = 220,010,231
and
-1 x -220,010,231 = 220,010,231
Notice both answers equal 220,010,231

With that explanation out of the way, let's continue. Next, we take the number 220,010,231 and divide it by 2:

220,010,231 ÷ 2 = 110,005,115.5

If the quotient is a whole number, then 2 and 110,005,115.5 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:

1 220,010,231
-1 -220,010,231

Now, we try dividing 220,010,231 by 3:

220,010,231 ÷ 3 = 73,336,743.6667

If the quotient is a whole number, then 3 and 73,336,743.6667 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:

1 220,010,231
-1 -220,010,231

Let's try dividing by 4:

220,010,231 ÷ 4 = 55,002,557.75

If the quotient is a whole number, then 4 and 55,002,557.75 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:

1 220,010,231
-1 220,010,231
Keep dividing by the next highest number until you cannot divide anymore.

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

17433013891,8792,72313,15316,72780,797117,089565,579730,9315,116,51731,430,033220,010,231
-1-7-43-301-389-1,879-2,723-13,153-16,727-80,797-117,089-565,579-730,931-5,116,517-31,430,033-220,010,231

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