Q: What are the factor combinations of the number 232,104,425?

 A:
Positive:   1 x 2321044255 x 464208857 x 3315777525 x 928417735 x 663155549 x 4736825175 x 1326311245 x 9473651225 x 189473
Negative: -1 x -232104425-5 x -46420885-7 x -33157775-25 x -9284177-35 x -6631555-49 x -4736825-175 x -1326311-245 x -947365-1225 x -189473


How do I find the factor combinations of the number 232,104,425?

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 232,104,425, 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.

1 232,104,425
-1 -232,104,425

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 232,104,425.

Example:
1 x 232,104,425 = 232,104,425
and
-1 x -232,104,425 = 232,104,425
Notice both answers equal 232,104,425

With that explanation out of the way, let's continue. Next, we take the number 232,104,425 and divide it by 2:

232,104,425 ÷ 2 = 116,052,212.5

If the quotient is a whole number, then 2 and 116,052,212.5 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:

1 232,104,425
-1 -232,104,425

Now, we try dividing 232,104,425 by 3:

232,104,425 ÷ 3 = 77,368,141.6667

If the quotient is a whole number, then 3 and 77,368,141.6667 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:

1 232,104,425
-1 -232,104,425

Let's try dividing by 4:

232,104,425 ÷ 4 = 58,026,106.25

If the quotient is a whole number, then 4 and 58,026,106.25 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:

1 232,104,425
-1 232,104,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,225189,473947,3651,326,3114,736,8256,631,5559,284,17733,157,77546,420,885232,104,425
-1-5-7-25-35-49-175-245-1,225-189,473-947,365-1,326,311-4,736,825-6,631,555-9,284,177-33,157,775-46,420,885-232,104,425

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