Q: What are the factor combinations of the number 230,013,005?

 A:
Positive:   1 x 2300130055 x 4600260161 x 3770705305 x 754141599 x 3839951259 x 1826952995 x 767996295 x 36539
Negative: -1 x -230013005-5 x -46002601-61 x -3770705-305 x -754141-599 x -383995-1259 x -182695-2995 x -76799-6295 x -36539


How do I find the factor combinations of the number 230,013,005?

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 230,013,005, 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.

1 230,013,005
-1 -230,013,005

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 230,013,005.

Example:
1 x 230,013,005 = 230,013,005
and
-1 x -230,013,005 = 230,013,005
Notice both answers equal 230,013,005

With that explanation out of the way, let's continue. Next, we take the number 230,013,005 and divide it by 2:

230,013,005 ÷ 2 = 115,006,502.5

If the quotient is a whole number, then 2 and 115,006,502.5 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:

1 230,013,005
-1 -230,013,005

Now, we try dividing 230,013,005 by 3:

230,013,005 ÷ 3 = 76,671,001.6667

If the quotient is a whole number, then 3 and 76,671,001.6667 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:

1 230,013,005
-1 -230,013,005

Let's try dividing by 4:

230,013,005 ÷ 4 = 57,503,251.25

If the quotient is a whole number, then 4 and 57,503,251.25 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:

1 230,013,005
-1 230,013,005
Keep dividing by the next highest number until you cannot divide anymore.

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

15613055991,2592,9956,29536,53976,799182,695383,995754,1413,770,70546,002,601230,013,005
-1-5-61-305-599-1,259-2,995-6,295-36,539-76,799-182,695-383,995-754,141-3,770,705-46,002,601-230,013,005

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