Q: What are the factor combinations of the number 555,373,255?

 A:
Positive:   1 x 5553732555 x 11107465117 x 3266901585 x 6533803
Negative: -1 x -555373255-5 x -111074651-17 x -32669015-85 x -6533803


How do I find the factor combinations of the number 555,373,255?

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 555,373,255, 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.

1 555,373,255
-1 -555,373,255

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 555,373,255.

Example:
1 x 555,373,255 = 555,373,255
and
-1 x -555,373,255 = 555,373,255
Notice both answers equal 555,373,255

With that explanation out of the way, let's continue. Next, we take the number 555,373,255 and divide it by 2:

555,373,255 ÷ 2 = 277,686,627.5

If the quotient is a whole number, then 2 and 277,686,627.5 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:

1 555,373,255
-1 -555,373,255

Now, we try dividing 555,373,255 by 3:

555,373,255 ÷ 3 = 185,124,418.3333

If the quotient is a whole number, then 3 and 185,124,418.3333 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:

1 555,373,255
-1 -555,373,255

Let's try dividing by 4:

555,373,255 ÷ 4 = 138,843,313.75

If the quotient is a whole number, then 4 and 138,843,313.75 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:

1 555,373,255
-1 555,373,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1517856,533,80332,669,015111,074,651555,373,255
-1-5-17-85-6,533,803-32,669,015-111,074,651-555,373,255

More Examples

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