Q: What are the factor combinations of the number 231,062,125?

 A:
Positive:   1 x 2310621255 x 462124257 x 3300887525 x 924248535 x 6601775125 x 1848497175 x 1320355875 x 264071
Negative: -1 x -231062125-5 x -46212425-7 x -33008875-25 x -9242485-35 x -6601775-125 x -1848497-175 x -1320355-875 x -264071


How do I find the factor combinations of the number 231,062,125?

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 231,062,125, 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.

1 231,062,125
-1 -231,062,125

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 231,062,125.

Example:
1 x 231,062,125 = 231,062,125
and
-1 x -231,062,125 = 231,062,125
Notice both answers equal 231,062,125

With that explanation out of the way, let's continue. Next, we take the number 231,062,125 and divide it by 2:

231,062,125 ÷ 2 = 115,531,062.5

If the quotient is a whole number, then 2 and 115,531,062.5 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:

1 231,062,125
-1 -231,062,125

Now, we try dividing 231,062,125 by 3:

231,062,125 ÷ 3 = 77,020,708.3333

If the quotient is a whole number, then 3 and 77,020,708.3333 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:

1 231,062,125
-1 -231,062,125

Let's try dividing by 4:

231,062,125 ÷ 4 = 57,765,531.25

If the quotient is a whole number, then 4 and 57,765,531.25 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:

1 231,062,125
-1 231,062,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535125175875264,0711,320,3551,848,4976,601,7759,242,48533,008,87546,212,425231,062,125
-1-5-7-25-35-125-175-875-264,071-1,320,355-1,848,497-6,601,775-9,242,485-33,008,875-46,212,425-231,062,125

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