Q: What are the factor combinations of the number 230,050,015?

 A:
Positive:   1 x 2300500155 x 4601000313 x 1769615565 x 3539231167 x 1377545835 x 2755092171 x 10596510855 x 21193
Negative: -1 x -230050015-5 x -46010003-13 x -17696155-65 x -3539231-167 x -1377545-835 x -275509-2171 x -105965-10855 x -21193


How do I find the factor combinations of the number 230,050,015?

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 230,050,015, 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.

1 230,050,015
-1 -230,050,015

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 230,050,015.

Example:
1 x 230,050,015 = 230,050,015
and
-1 x -230,050,015 = 230,050,015
Notice both answers equal 230,050,015

With that explanation out of the way, let's continue. Next, we take the number 230,050,015 and divide it by 2:

230,050,015 ÷ 2 = 115,025,007.5

If the quotient is a whole number, then 2 and 115,025,007.5 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:

1 230,050,015
-1 -230,050,015

Now, we try dividing 230,050,015 by 3:

230,050,015 ÷ 3 = 76,683,338.3333

If the quotient is a whole number, then 3 and 76,683,338.3333 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:

1 230,050,015
-1 -230,050,015

Let's try dividing by 4:

230,050,015 ÷ 4 = 57,512,503.75

If the quotient is a whole number, then 4 and 57,512,503.75 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:

1 230,050,015
-1 230,050,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651678352,17110,85521,193105,965275,5091,377,5453,539,23117,696,15546,010,003230,050,015
-1-5-13-65-167-835-2,171-10,855-21,193-105,965-275,509-1,377,545-3,539,231-17,696,155-46,010,003-230,050,015

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