Q: What are the factor combinations of the number 31,331,443?

 A:
Positive:   1 x 3133144311 x 284831313 x 2410111143 x 219101151 x 2074931451 x 215931661 x 188631963 x 15961
Negative: -1 x -31331443-11 x -2848313-13 x -2410111-143 x -219101-151 x -207493-1451 x -21593-1661 x -18863-1963 x -15961


How do I find the factor combinations of the number 31,331,443?

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 31,331,443, 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 31,331,443
-1 -31,331,443

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 31,331,443.

Example:
1 x 31,331,443 = 31,331,443
and
-1 x -31,331,443 = 31,331,443
Notice both answers equal 31,331,443

With that explanation out of the way, let's continue. Next, we take the number 31,331,443 and divide it by 2:

31,331,443 ÷ 2 = 15,665,721.5

If the quotient is a whole number, then 2 and 15,665,721.5 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 31,331,443
-1 -31,331,443

Now, we try dividing 31,331,443 by 3:

31,331,443 ÷ 3 = 10,443,814.3333

If the quotient is a whole number, then 3 and 10,443,814.3333 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 31,331,443
-1 -31,331,443

Let's try dividing by 4:

31,331,443 ÷ 4 = 7,832,860.75

If the quotient is a whole number, then 4 and 7,832,860.75 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 31,331,443
-1 31,331,443
Keep dividing by the next highest number until you cannot divide anymore.

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

111131431511,4511,6611,96315,96118,86321,593207,493219,1012,410,1112,848,31331,331,443
-1-11-13-143-151-1,451-1,661-1,963-15,961-18,863-21,593-207,493-219,101-2,410,111-2,848,313-31,331,443

More Examples

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