Q: What are the factor combinations of the number 231,322,325?

 A:
Positive:   1 x 2313223255 x 4626446513 x 1779402525 x 925289365 x 3558805197 x 1174225325 x 711761985 x 2348452561 x 903253613 x 640254925 x 4696912805 x 18065
Negative: -1 x -231322325-5 x -46264465-13 x -17794025-25 x -9252893-65 x -3558805-197 x -1174225-325 x -711761-985 x -234845-2561 x -90325-3613 x -64025-4925 x -46969-12805 x -18065


How do I find the factor combinations of the number 231,322,325?

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 231,322,325, 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.

1 231,322,325
-1 -231,322,325

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 231,322,325.

Example:
1 x 231,322,325 = 231,322,325
and
-1 x -231,322,325 = 231,322,325
Notice both answers equal 231,322,325

With that explanation out of the way, let's continue. Next, we take the number 231,322,325 and divide it by 2:

231,322,325 ÷ 2 = 115,661,162.5

If the quotient is a whole number, then 2 and 115,661,162.5 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:

1 231,322,325
-1 -231,322,325

Now, we try dividing 231,322,325 by 3:

231,322,325 ÷ 3 = 77,107,441.6667

If the quotient is a whole number, then 3 and 77,107,441.6667 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:

1 231,322,325
-1 -231,322,325

Let's try dividing by 4:

231,322,325 ÷ 4 = 57,830,581.25

If the quotient is a whole number, then 4 and 57,830,581.25 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:

1 231,322,325
-1 231,322,325
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651973259852,5613,6134,92512,80518,06546,96964,02590,325234,845711,7611,174,2253,558,8059,252,89317,794,02546,264,465231,322,325
-1-5-13-25-65-197-325-985-2,561-3,613-4,925-12,805-18,065-46,969-64,025-90,325-234,845-711,761-1,174,225-3,558,805-9,252,893-17,794,025-46,264,465-231,322,325

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