Q: What are the factor combinations of the number 231,525,095?

 A:
Positive:   1 x 2315250955 x 4630501937 x 6257435185 x 1251487773 x 2995151619 x 1430053865 x 599038095 x 28601
Negative: -1 x -231525095-5 x -46305019-37 x -6257435-185 x -1251487-773 x -299515-1619 x -143005-3865 x -59903-8095 x -28601


How do I find the factor combinations of the number 231,525,095?

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 231,525,095, 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.

1 231,525,095
-1 -231,525,095

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 231,525,095.

Example:
1 x 231,525,095 = 231,525,095
and
-1 x -231,525,095 = 231,525,095
Notice both answers equal 231,525,095

With that explanation out of the way, let's continue. Next, we take the number 231,525,095 and divide it by 2:

231,525,095 ÷ 2 = 115,762,547.5

If the quotient is a whole number, then 2 and 115,762,547.5 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:

1 231,525,095
-1 -231,525,095

Now, we try dividing 231,525,095 by 3:

231,525,095 ÷ 3 = 77,175,031.6667

If the quotient is a whole number, then 3 and 77,175,031.6667 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:

1 231,525,095
-1 -231,525,095

Let's try dividing by 4:

231,525,095 ÷ 4 = 57,881,273.75

If the quotient is a whole number, then 4 and 57,881,273.75 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:

1 231,525,095
-1 231,525,095
Keep dividing by the next highest number until you cannot divide anymore.

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

15371857731,6193,8658,09528,60159,903143,005299,5151,251,4876,257,43546,305,019231,525,095
-1-5-37-185-773-1,619-3,865-8,095-28,601-59,903-143,005-299,515-1,251,487-6,257,435-46,305,019-231,525,095

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