Q: What are the factor combinations of the number 231,057,775?

 A:
Positive:   1 x 2310577755 x 4621155513 x 1777367525 x 924231165 x 355473573 x 3165175325 x 710947365 x 633035949 x 2434751825 x 1266074745 x 486959739 x 23725
Negative: -1 x -231057775-5 x -46211555-13 x -17773675-25 x -9242311-65 x -3554735-73 x -3165175-325 x -710947-365 x -633035-949 x -243475-1825 x -126607-4745 x -48695-9739 x -23725


How do I find the factor combinations of the number 231,057,775?

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 231,057,775, 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.

1 231,057,775
-1 -231,057,775

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 231,057,775.

Example:
1 x 231,057,775 = 231,057,775
and
-1 x -231,057,775 = 231,057,775
Notice both answers equal 231,057,775

With that explanation out of the way, let's continue. Next, we take the number 231,057,775 and divide it by 2:

231,057,775 ÷ 2 = 115,528,887.5

If the quotient is a whole number, then 2 and 115,528,887.5 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:

1 231,057,775
-1 -231,057,775

Now, we try dividing 231,057,775 by 3:

231,057,775 ÷ 3 = 77,019,258.3333

If the quotient is a whole number, then 3 and 77,019,258.3333 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:

1 231,057,775
-1 -231,057,775

Let's try dividing by 4:

231,057,775 ÷ 4 = 57,764,443.75

If the quotient is a whole number, then 4 and 57,764,443.75 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:

1 231,057,775
-1 231,057,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15132565733253659491,8254,7459,73923,72548,695126,607243,475633,035710,9473,165,1753,554,7359,242,31117,773,67546,211,555231,057,775
-1-5-13-25-65-73-325-365-949-1,825-4,745-9,739-23,725-48,695-126,607-243,475-633,035-710,947-3,165,175-3,554,735-9,242,311-17,773,675-46,211,555-231,057,775

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