Q: What are the factor combinations of the number 231,062,575?

 A:
Positive:   1 x 2310625755 x 4621251525 x 924250329 x 796767547 x 4916225145 x 1593535235 x 983245725 x 3187071175 x 1966491363 x 1695256781 x 340756815 x 33905
Negative: -1 x -231062575-5 x -46212515-25 x -9242503-29 x -7967675-47 x -4916225-145 x -1593535-235 x -983245-725 x -318707-1175 x -196649-1363 x -169525-6781 x -34075-6815 x -33905


How do I find the factor combinations of the number 231,062,575?

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 231,062,575, 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.

1 231,062,575
-1 -231,062,575

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 231,062,575.

Example:
1 x 231,062,575 = 231,062,575
and
-1 x -231,062,575 = 231,062,575
Notice both answers equal 231,062,575

With that explanation out of the way, let's continue. Next, we take the number 231,062,575 and divide it by 2:

231,062,575 ÷ 2 = 115,531,287.5

If the quotient is a whole number, then 2 and 115,531,287.5 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:

1 231,062,575
-1 -231,062,575

Now, we try dividing 231,062,575 by 3:

231,062,575 ÷ 3 = 77,020,858.3333

If the quotient is a whole number, then 3 and 77,020,858.3333 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:

1 231,062,575
-1 -231,062,575

Let's try dividing by 4:

231,062,575 ÷ 4 = 57,765,643.75

If the quotient is a whole number, then 4 and 57,765,643.75 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:

1 231,062,575
-1 231,062,575
Keep dividing by the next highest number until you cannot divide anymore.

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

152529471452357251,1751,3636,7816,81533,90534,075169,525196,649318,707983,2451,593,5354,916,2257,967,6759,242,50346,212,515231,062,575
-1-5-25-29-47-145-235-725-1,175-1,363-6,781-6,815-33,905-34,075-169,525-196,649-318,707-983,245-1,593,535-4,916,225-7,967,675-9,242,503-46,212,515-231,062,575

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