Q: What are the factor combinations of the number 230,000,029?

 A:
Positive:   1 x 2300000297 x 3285714737 x 6216217151 x 1523179259 x 8880311057 x 2175975587 x 411675881 x 39109
Negative: -1 x -230000029-7 x -32857147-37 x -6216217-151 x -1523179-259 x -888031-1057 x -217597-5587 x -41167-5881 x -39109


How do I find the factor combinations of the number 230,000,029?

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 230,000,029, 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.

1 230,000,029
-1 -230,000,029

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 230,000,029.

Example:
1 x 230,000,029 = 230,000,029
and
-1 x -230,000,029 = 230,000,029
Notice both answers equal 230,000,029

With that explanation out of the way, let's continue. Next, we take the number 230,000,029 and divide it by 2:

230,000,029 ÷ 2 = 115,000,014.5

If the quotient is a whole number, then 2 and 115,000,014.5 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:

1 230,000,029
-1 -230,000,029

Now, we try dividing 230,000,029 by 3:

230,000,029 ÷ 3 = 76,666,676.3333

If the quotient is a whole number, then 3 and 76,666,676.3333 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:

1 230,000,029
-1 -230,000,029

Let's try dividing by 4:

230,000,029 ÷ 4 = 57,500,007.25

If the quotient is a whole number, then 4 and 57,500,007.25 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:

1 230,000,029
-1 230,000,029
Keep dividing by the next highest number until you cannot divide anymore.

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

17371512591,0575,5875,88139,10941,167217,597888,0311,523,1796,216,21732,857,147230,000,029
-1-7-37-151-259-1,057-5,587-5,881-39,109-41,167-217,597-888,031-1,523,179-6,216,217-32,857,147-230,000,029

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