Q: What are the factor combinations of the number 112,011,029?

 A:
Positive:   1 x 11201102913 x 861623331 x 3613259403 x 277943499 x 224471557 x 2010976487 x 172677241 x 15469
Negative: -1 x -112011029-13 x -8616233-31 x -3613259-403 x -277943-499 x -224471-557 x -201097-6487 x -17267-7241 x -15469


How do I find the factor combinations of the number 112,011,029?

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 112,011,029, 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.

1 112,011,029
-1 -112,011,029

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 112,011,029.

Example:
1 x 112,011,029 = 112,011,029
and
-1 x -112,011,029 = 112,011,029
Notice both answers equal 112,011,029

With that explanation out of the way, let's continue. Next, we take the number 112,011,029 and divide it by 2:

112,011,029 ÷ 2 = 56,005,514.5

If the quotient is a whole number, then 2 and 56,005,514.5 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:

1 112,011,029
-1 -112,011,029

Now, we try dividing 112,011,029 by 3:

112,011,029 ÷ 3 = 37,337,009.6667

If the quotient is a whole number, then 3 and 37,337,009.6667 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:

1 112,011,029
-1 -112,011,029

Let's try dividing by 4:

112,011,029 ÷ 4 = 28,002,757.25

If the quotient is a whole number, then 4 and 28,002,757.25 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:

1 112,011,029
-1 112,011,029
Keep dividing by the next highest number until you cannot divide anymore.

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

113314034995576,4877,24115,46917,267201,097224,471277,9433,613,2598,616,233112,011,029
-1-13-31-403-499-557-6,487-7,241-15,469-17,267-201,097-224,471-277,943-3,613,259-8,616,233-112,011,029

More Examples

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