Q: What are the factor combinations of the number 230,013,329?

 A:
Positive:   1 x 2300133297 x 3285904713 x 1769333359 x 389853191 x 2527619413 x 556933767 x 2998875369 x 42841
Negative: -1 x -230013329-7 x -32859047-13 x -17693333-59 x -3898531-91 x -2527619-413 x -556933-767 x -299887-5369 x -42841


How do I find the factor combinations of the number 230,013,329?

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 230,013,329, 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.

1 230,013,329
-1 -230,013,329

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 230,013,329.

Example:
1 x 230,013,329 = 230,013,329
and
-1 x -230,013,329 = 230,013,329
Notice both answers equal 230,013,329

With that explanation out of the way, let's continue. Next, we take the number 230,013,329 and divide it by 2:

230,013,329 ÷ 2 = 115,006,664.5

If the quotient is a whole number, then 2 and 115,006,664.5 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:

1 230,013,329
-1 -230,013,329

Now, we try dividing 230,013,329 by 3:

230,013,329 ÷ 3 = 76,671,109.6667

If the quotient is a whole number, then 3 and 76,671,109.6667 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:

1 230,013,329
-1 -230,013,329

Let's try dividing by 4:

230,013,329 ÷ 4 = 57,503,332.25

If the quotient is a whole number, then 4 and 57,503,332.25 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:

1 230,013,329
-1 230,013,329
Keep dividing by the next highest number until you cannot divide anymore.

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

171359914137675,36942,841299,887556,9332,527,6193,898,53117,693,33332,859,047230,013,329
-1-7-13-59-91-413-767-5,369-42,841-299,887-556,933-2,527,619-3,898,531-17,693,333-32,859,047-230,013,329

More Examples

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