Q: What are the factor combinations of the number 321,111,049?

 A:
Positive:   1 x 3211110497 x 4587300737 x 8678677103 x 3117583259 x 1239811721 x 4453693811 x 8425912037 x 26677
Negative: -1 x -321111049-7 x -45873007-37 x -8678677-103 x -3117583-259 x -1239811-721 x -445369-3811 x -84259-12037 x -26677


How do I find the factor combinations of the number 321,111,049?

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 321,111,049, 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.

1 321,111,049
-1 -321,111,049

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 321,111,049.

Example:
1 x 321,111,049 = 321,111,049
and
-1 x -321,111,049 = 321,111,049
Notice both answers equal 321,111,049

With that explanation out of the way, let's continue. Next, we take the number 321,111,049 and divide it by 2:

321,111,049 ÷ 2 = 160,555,524.5

If the quotient is a whole number, then 2 and 160,555,524.5 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:

1 321,111,049
-1 -321,111,049

Now, we try dividing 321,111,049 by 3:

321,111,049 ÷ 3 = 107,037,016.3333

If the quotient is a whole number, then 3 and 107,037,016.3333 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:

1 321,111,049
-1 -321,111,049

Let's try dividing by 4:

321,111,049 ÷ 4 = 80,277,762.25

If the quotient is a whole number, then 4 and 80,277,762.25 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:

1 321,111,049
-1 321,111,049
Keep dividing by the next highest number until you cannot divide anymore.

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

17371032597213,81112,03726,67784,259445,3691,239,8113,117,5838,678,67745,873,007321,111,049
-1-7-37-103-259-721-3,811-12,037-26,677-84,259-445,369-1,239,811-3,117,583-8,678,677-45,873,007-321,111,049

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