Q: What are the factor combinations of the number 231,320,401?

 A:
Positive:   1 x 23132040113 x 1779387741 x 5641961101 x 2290301533 x 4339971313 x 1761774141 x 558614297 x 53833
Negative: -1 x -231320401-13 x -17793877-41 x -5641961-101 x -2290301-533 x -433997-1313 x -176177-4141 x -55861-4297 x -53833


How do I find the factor combinations of the number 231,320,401?

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 231,320,401, 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.

1 231,320,401
-1 -231,320,401

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 231,320,401.

Example:
1 x 231,320,401 = 231,320,401
and
-1 x -231,320,401 = 231,320,401
Notice both answers equal 231,320,401

With that explanation out of the way, let's continue. Next, we take the number 231,320,401 and divide it by 2:

231,320,401 ÷ 2 = 115,660,200.5

If the quotient is a whole number, then 2 and 115,660,200.5 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:

1 231,320,401
-1 -231,320,401

Now, we try dividing 231,320,401 by 3:

231,320,401 ÷ 3 = 77,106,800.3333

If the quotient is a whole number, then 3 and 77,106,800.3333 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:

1 231,320,401
-1 -231,320,401

Let's try dividing by 4:

231,320,401 ÷ 4 = 57,830,100.25

If the quotient is a whole number, then 4 and 57,830,100.25 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:

1 231,320,401
-1 231,320,401
Keep dividing by the next highest number until you cannot divide anymore.

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

113411015331,3134,1414,29753,83355,861176,177433,9972,290,3015,641,96117,793,877231,320,401
-1-13-41-101-533-1,313-4,141-4,297-53,833-55,861-176,177-433,997-2,290,301-5,641,961-17,793,877-231,320,401

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