Q: What are the factor combinations of the number 231,402,335?

 A:
Positive:   1 x 2314023355 x 4628046773 x 3169895139 x 1664765365 x 633979695 x 3329534561 x 5073510147 x 22805
Negative: -1 x -231402335-5 x -46280467-73 x -3169895-139 x -1664765-365 x -633979-695 x -332953-4561 x -50735-10147 x -22805


How do I find the factor combinations of the number 231,402,335?

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 231,402,335, 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.

1 231,402,335
-1 -231,402,335

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 231,402,335.

Example:
1 x 231,402,335 = 231,402,335
and
-1 x -231,402,335 = 231,402,335
Notice both answers equal 231,402,335

With that explanation out of the way, let's continue. Next, we take the number 231,402,335 and divide it by 2:

231,402,335 ÷ 2 = 115,701,167.5

If the quotient is a whole number, then 2 and 115,701,167.5 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:

1 231,402,335
-1 -231,402,335

Now, we try dividing 231,402,335 by 3:

231,402,335 ÷ 3 = 77,134,111.6667

If the quotient is a whole number, then 3 and 77,134,111.6667 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:

1 231,402,335
-1 -231,402,335

Let's try dividing by 4:

231,402,335 ÷ 4 = 57,850,583.75

If the quotient is a whole number, then 4 and 57,850,583.75 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:

1 231,402,335
-1 231,402,335
Keep dividing by the next highest number until you cannot divide anymore.

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

15731393656954,56110,14722,80550,735332,953633,9791,664,7653,169,89546,280,467231,402,335
-1-5-73-139-365-695-4,561-10,147-22,805-50,735-332,953-633,979-1,664,765-3,169,895-46,280,467-231,402,335

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