Q: What are the factor combinations of the number 312,443,255?

 A:
Positive:   1 x 3124432555 x 6248865117 x 1837901585 x 3675803
Negative: -1 x -312443255-5 x -62488651-17 x -18379015-85 x -3675803


How do I find the factor combinations of the number 312,443,255?

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 312,443,255, 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.

1 312,443,255
-1 -312,443,255

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 312,443,255.

Example:
1 x 312,443,255 = 312,443,255
and
-1 x -312,443,255 = 312,443,255
Notice both answers equal 312,443,255

With that explanation out of the way, let's continue. Next, we take the number 312,443,255 and divide it by 2:

312,443,255 ÷ 2 = 156,221,627.5

If the quotient is a whole number, then 2 and 156,221,627.5 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:

1 312,443,255
-1 -312,443,255

Now, we try dividing 312,443,255 by 3:

312,443,255 ÷ 3 = 104,147,751.6667

If the quotient is a whole number, then 3 and 104,147,751.6667 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:

1 312,443,255
-1 -312,443,255

Let's try dividing by 4:

312,443,255 ÷ 4 = 78,110,813.75

If the quotient is a whole number, then 4 and 78,110,813.75 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:

1 312,443,255
-1 312,443,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1517853,675,80318,379,01562,488,651312,443,255
-1-5-17-85-3,675,803-18,379,015-62,488,651-312,443,255

More Examples

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