Q: What are the factor combinations of the number 130,034,021?

 A:
Positive:   1 x 13003402113 x 1000261737 x 351443343 x 3024047481 x 270341559 x 2326191591 x 817316287 x 20683
Negative: -1 x -130034021-13 x -10002617-37 x -3514433-43 x -3024047-481 x -270341-559 x -232619-1591 x -81731-6287 x -20683


How do I find the factor combinations of the number 130,034,021?

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 130,034,021, 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.

1 130,034,021
-1 -130,034,021

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 130,034,021.

Example:
1 x 130,034,021 = 130,034,021
and
-1 x -130,034,021 = 130,034,021
Notice both answers equal 130,034,021

With that explanation out of the way, let's continue. Next, we take the number 130,034,021 and divide it by 2:

130,034,021 ÷ 2 = 65,017,010.5

If the quotient is a whole number, then 2 and 65,017,010.5 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:

1 130,034,021
-1 -130,034,021

Now, we try dividing 130,034,021 by 3:

130,034,021 ÷ 3 = 43,344,673.6667

If the quotient is a whole number, then 3 and 43,344,673.6667 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:

1 130,034,021
-1 -130,034,021

Let's try dividing by 4:

130,034,021 ÷ 4 = 32,508,505.25

If the quotient is a whole number, then 4 and 32,508,505.25 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:

1 130,034,021
-1 130,034,021
Keep dividing by the next highest number until you cannot divide anymore.

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

11337434815591,5916,28720,68381,731232,619270,3413,024,0473,514,43310,002,617130,034,021
-1-13-37-43-481-559-1,591-6,287-20,683-81,731-232,619-270,341-3,024,047-3,514,433-10,002,617-130,034,021

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