Q: What are the factor combinations of the number 230,365,375?

 A:
Positive:   1 x 2303653755 x 4607307525 x 921461589 x 2588375125 x 1842923445 x 5176752225 x 10353511125 x 20707
Negative: -1 x -230365375-5 x -46073075-25 x -9214615-89 x -2588375-125 x -1842923-445 x -517675-2225 x -103535-11125 x -20707


How do I find the factor combinations of the number 230,365,375?

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 230,365,375, 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.

1 230,365,375
-1 -230,365,375

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 230,365,375.

Example:
1 x 230,365,375 = 230,365,375
and
-1 x -230,365,375 = 230,365,375
Notice both answers equal 230,365,375

With that explanation out of the way, let's continue. Next, we take the number 230,365,375 and divide it by 2:

230,365,375 ÷ 2 = 115,182,687.5

If the quotient is a whole number, then 2 and 115,182,687.5 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:

1 230,365,375
-1 -230,365,375

Now, we try dividing 230,365,375 by 3:

230,365,375 ÷ 3 = 76,788,458.3333

If the quotient is a whole number, then 3 and 76,788,458.3333 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:

1 230,365,375
-1 -230,365,375

Let's try dividing by 4:

230,365,375 ÷ 4 = 57,591,343.75

If the quotient is a whole number, then 4 and 57,591,343.75 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:

1 230,365,375
-1 230,365,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525891254452,22511,12520,707103,535517,6751,842,9232,588,3759,214,61546,073,075230,365,375
-1-5-25-89-125-445-2,225-11,125-20,707-103,535-517,675-1,842,923-2,588,375-9,214,615-46,073,075-230,365,375

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