Q: What are the factor combinations of the number 112,022,009?

 A:
Positive:   1 x 11202200911 x 1018381943 x 260516347 x 2383447473 x 236833517 x 2166772021 x 554295039 x 22231
Negative: -1 x -112022009-11 x -10183819-43 x -2605163-47 x -2383447-473 x -236833-517 x -216677-2021 x -55429-5039 x -22231


How do I find the factor combinations of the number 112,022,009?

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 112,022,009, 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.

1 112,022,009
-1 -112,022,009

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 112,022,009.

Example:
1 x 112,022,009 = 112,022,009
and
-1 x -112,022,009 = 112,022,009
Notice both answers equal 112,022,009

With that explanation out of the way, let's continue. Next, we take the number 112,022,009 and divide it by 2:

112,022,009 ÷ 2 = 56,011,004.5

If the quotient is a whole number, then 2 and 56,011,004.5 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:

1 112,022,009
-1 -112,022,009

Now, we try dividing 112,022,009 by 3:

112,022,009 ÷ 3 = 37,340,669.6667

If the quotient is a whole number, then 3 and 37,340,669.6667 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:

1 112,022,009
-1 -112,022,009

Let's try dividing by 4:

112,022,009 ÷ 4 = 28,005,502.25

If the quotient is a whole number, then 4 and 28,005,502.25 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:

1 112,022,009
-1 112,022,009
Keep dividing by the next highest number until you cannot divide anymore.

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

11143474735172,0215,03922,23155,429216,677236,8332,383,4472,605,16310,183,819112,022,009
-1-11-43-47-473-517-2,021-5,039-22,231-55,429-216,677-236,833-2,383,447-2,605,163-10,183,819-112,022,009

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