Q: What are the factor combinations of the number 231,612,575?

 A:
Positive:   1 x 2316125755 x 4632251525 x 926450373 x 3172775179 x 1293925365 x 634555709 x 326675895 x 2587851825 x 1269113545 x 653354475 x 5175713067 x 17725
Negative: -1 x -231612575-5 x -46322515-25 x -9264503-73 x -3172775-179 x -1293925-365 x -634555-709 x -326675-895 x -258785-1825 x -126911-3545 x -65335-4475 x -51757-13067 x -17725


How do I find the factor combinations of the number 231,612,575?

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 231,612,575, 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.

1 231,612,575
-1 -231,612,575

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 231,612,575.

Example:
1 x 231,612,575 = 231,612,575
and
-1 x -231,612,575 = 231,612,575
Notice both answers equal 231,612,575

With that explanation out of the way, let's continue. Next, we take the number 231,612,575 and divide it by 2:

231,612,575 ÷ 2 = 115,806,287.5

If the quotient is a whole number, then 2 and 115,806,287.5 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:

1 231,612,575
-1 -231,612,575

Now, we try dividing 231,612,575 by 3:

231,612,575 ÷ 3 = 77,204,191.6667

If the quotient is a whole number, then 3 and 77,204,191.6667 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:

1 231,612,575
-1 -231,612,575

Let's try dividing by 4:

231,612,575 ÷ 4 = 57,903,143.75

If the quotient is a whole number, then 4 and 57,903,143.75 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:

1 231,612,575
-1 231,612,575
Keep dividing by the next highest number until you cannot divide anymore.

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

1525731793657098951,8253,5454,47513,06717,72551,75765,335126,911258,785326,675634,5551,293,9253,172,7759,264,50346,322,515231,612,575
-1-5-25-73-179-365-709-895-1,825-3,545-4,475-13,067-17,725-51,757-65,335-126,911-258,785-326,675-634,555-1,293,925-3,172,775-9,264,503-46,322,515-231,612,575

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