Q: What are the factor combinations of the number 255,122,555?

 A:
Positive:   1 x 2551225555 x 5102451123 x 11092285115 x 22184571423 x 1792851559 x 1636457115 x 358577795 x 32729
Negative: -1 x -255122555-5 x -51024511-23 x -11092285-115 x -2218457-1423 x -179285-1559 x -163645-7115 x -35857-7795 x -32729


How do I find the factor combinations of the number 255,122,555?

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 255,122,555, 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.

1 255,122,555
-1 -255,122,555

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 255,122,555.

Example:
1 x 255,122,555 = 255,122,555
and
-1 x -255,122,555 = 255,122,555
Notice both answers equal 255,122,555

With that explanation out of the way, let's continue. Next, we take the number 255,122,555 and divide it by 2:

255,122,555 ÷ 2 = 127,561,277.5

If the quotient is a whole number, then 2 and 127,561,277.5 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:

1 255,122,555
-1 -255,122,555

Now, we try dividing 255,122,555 by 3:

255,122,555 ÷ 3 = 85,040,851.6667

If the quotient is a whole number, then 3 and 85,040,851.6667 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:

1 255,122,555
-1 -255,122,555

Let's try dividing by 4:

255,122,555 ÷ 4 = 63,780,638.75

If the quotient is a whole number, then 4 and 63,780,638.75 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:

1 255,122,555
-1 255,122,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151,4231,5597,1157,79532,72935,857163,645179,2852,218,45711,092,28551,024,511255,122,555
-1-5-23-115-1,423-1,559-7,115-7,795-32,729-35,857-163,645-179,285-2,218,457-11,092,285-51,024,511-255,122,555

More Examples

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