Q: What are the factor combinations of the number 231,765,331?

 A:
Positive:   1 x 2317653317 x 3310933331 x 7476301131 x 1769201217 x 1068043263 x 881237917 x 252743961 x 2411711841 x 1258914061 x 570716727 x 344538153 x 28427
Negative: -1 x -231765331-7 x -33109333-31 x -7476301-131 x -1769201-217 x -1068043-263 x -881237-917 x -252743-961 x -241171-1841 x -125891-4061 x -57071-6727 x -34453-8153 x -28427


How do I find the factor combinations of the number 231,765,331?

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 231,765,331, 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.

1 231,765,331
-1 -231,765,331

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 231,765,331.

Example:
1 x 231,765,331 = 231,765,331
and
-1 x -231,765,331 = 231,765,331
Notice both answers equal 231,765,331

With that explanation out of the way, let's continue. Next, we take the number 231,765,331 and divide it by 2:

231,765,331 ÷ 2 = 115,882,665.5

If the quotient is a whole number, then 2 and 115,882,665.5 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:

1 231,765,331
-1 -231,765,331

Now, we try dividing 231,765,331 by 3:

231,765,331 ÷ 3 = 77,255,110.3333

If the quotient is a whole number, then 3 and 77,255,110.3333 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:

1 231,765,331
-1 -231,765,331

Let's try dividing by 4:

231,765,331 ÷ 4 = 57,941,332.75

If the quotient is a whole number, then 4 and 57,941,332.75 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:

1 231,765,331
-1 231,765,331
Keep dividing by the next highest number until you cannot divide anymore.

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

17311312172639179611,8414,0616,7278,15328,42734,45357,071125,891241,171252,743881,2371,068,0431,769,2017,476,30133,109,333231,765,331
-1-7-31-131-217-263-917-961-1,841-4,061-6,727-8,153-28,427-34,453-57,071-125,891-241,171-252,743-881,237-1,068,043-1,769,201-7,476,301-33,109,333-231,765,331

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