Q: What are the factor combinations of the number 18,431,231?

 A:
Positive:   1 x 184312317 x 263303313 x 141778767 x 27509391 x 202541469 x 39299871 x 211613023 x 6097
Negative: -1 x -18431231-7 x -2633033-13 x -1417787-67 x -275093-91 x -202541-469 x -39299-871 x -21161-3023 x -6097


How do I find the factor combinations of the number 18,431,231?

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 18,431,231, 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 18,431,231
-1 -18,431,231

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 18,431,231.

Example:
1 x 18,431,231 = 18,431,231
and
-1 x -18,431,231 = 18,431,231
Notice both answers equal 18,431,231

With that explanation out of the way, let's continue. Next, we take the number 18,431,231 and divide it by 2:

18,431,231 ÷ 2 = 9,215,615.5

If the quotient is a whole number, then 2 and 9,215,615.5 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 18,431,231
-1 -18,431,231

Now, we try dividing 18,431,231 by 3:

18,431,231 ÷ 3 = 6,143,743.6667

If the quotient is a whole number, then 3 and 6,143,743.6667 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 18,431,231
-1 -18,431,231

Let's try dividing by 4:

18,431,231 ÷ 4 = 4,607,807.75

If the quotient is a whole number, then 4 and 4,607,807.75 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 18,431,231
-1 18,431,231
Keep dividing by the next highest number until you cannot divide anymore.

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

171367914698713,0236,09721,16139,299202,541275,0931,417,7872,633,03318,431,231
-1-7-13-67-91-469-871-3,023-6,097-21,161-39,299-202,541-275,093-1,417,787-2,633,033-18,431,231

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