Q: What are the factor combinations of the number 231,403,325?

 A:
Positive:   1 x 2314033255 x 4628066525 x 925613329 x 797942547 x 4923475145 x 1595885235 x 984695725 x 3191771175 x 1969391363 x 1697756791 x 340756815 x 33955
Negative: -1 x -231403325-5 x -46280665-25 x -9256133-29 x -7979425-47 x -4923475-145 x -1595885-235 x -984695-725 x -319177-1175 x -196939-1363 x -169775-6791 x -34075-6815 x -33955


How do I find the factor combinations of the number 231,403,325?

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 231,403,325, 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.

1 231,403,325
-1 -231,403,325

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 231,403,325.

Example:
1 x 231,403,325 = 231,403,325
and
-1 x -231,403,325 = 231,403,325
Notice both answers equal 231,403,325

With that explanation out of the way, let's continue. Next, we take the number 231,403,325 and divide it by 2:

231,403,325 ÷ 2 = 115,701,662.5

If the quotient is a whole number, then 2 and 115,701,662.5 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:

1 231,403,325
-1 -231,403,325

Now, we try dividing 231,403,325 by 3:

231,403,325 ÷ 3 = 77,134,441.6667

If the quotient is a whole number, then 3 and 77,134,441.6667 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:

1 231,403,325
-1 -231,403,325

Let's try dividing by 4:

231,403,325 ÷ 4 = 57,850,831.25

If the quotient is a whole number, then 4 and 57,850,831.25 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:

1 231,403,325
-1 231,403,325
Keep dividing by the next highest number until you cannot divide anymore.

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

152529471452357251,1751,3636,7916,81533,95534,075169,775196,939319,177984,6951,595,8854,923,4757,979,4259,256,13346,280,665231,403,325
-1-5-25-29-47-145-235-725-1,175-1,363-6,791-6,815-33,955-34,075-169,775-196,939-319,177-984,695-1,595,885-4,923,475-7,979,425-9,256,133-46,280,665-231,403,325

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