Q: What are the factor combinations of the number 231,227,125?

 A:
Positive:   1 x 2312271255 x 4624542525 x 924908543 x 5377375125 x 1849817215 x 10754751075 x 2150955375 x 43019
Negative: -1 x -231227125-5 x -46245425-25 x -9249085-43 x -5377375-125 x -1849817-215 x -1075475-1075 x -215095-5375 x -43019


How do I find the factor combinations of the number 231,227,125?

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 231,227,125, 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.

1 231,227,125
-1 -231,227,125

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 231,227,125.

Example:
1 x 231,227,125 = 231,227,125
and
-1 x -231,227,125 = 231,227,125
Notice both answers equal 231,227,125

With that explanation out of the way, let's continue. Next, we take the number 231,227,125 and divide it by 2:

231,227,125 ÷ 2 = 115,613,562.5

If the quotient is a whole number, then 2 and 115,613,562.5 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:

1 231,227,125
-1 -231,227,125

Now, we try dividing 231,227,125 by 3:

231,227,125 ÷ 3 = 77,075,708.3333

If the quotient is a whole number, then 3 and 77,075,708.3333 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:

1 231,227,125
-1 -231,227,125

Let's try dividing by 4:

231,227,125 ÷ 4 = 57,806,781.25

If the quotient is a whole number, then 4 and 57,806,781.25 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:

1 231,227,125
-1 231,227,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525431252151,0755,37543,019215,0951,075,4751,849,8175,377,3759,249,08546,245,425231,227,125
-1-5-25-43-125-215-1,075-5,375-43,019-215,095-1,075,475-1,849,817-5,377,375-9,249,085-46,245,425-231,227,125

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