Q: What are the factor combinations of the number 555,320,555?

 A:
Positive:   1 x 5553205555 x 11106411117 x 3266591585 x 6533183263 x 21114851315 x 4222974471 x 12420522355 x 24841
Negative: -1 x -555320555-5 x -111064111-17 x -32665915-85 x -6533183-263 x -2111485-1315 x -422297-4471 x -124205-22355 x -24841


How do I find the factor combinations of the number 555,320,555?

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 555,320,555, 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.

1 555,320,555
-1 -555,320,555

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 555,320,555.

Example:
1 x 555,320,555 = 555,320,555
and
-1 x -555,320,555 = 555,320,555
Notice both answers equal 555,320,555

With that explanation out of the way, let's continue. Next, we take the number 555,320,555 and divide it by 2:

555,320,555 ÷ 2 = 277,660,277.5

If the quotient is a whole number, then 2 and 277,660,277.5 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:

1 555,320,555
-1 -555,320,555

Now, we try dividing 555,320,555 by 3:

555,320,555 ÷ 3 = 185,106,851.6667

If the quotient is a whole number, then 3 and 185,106,851.6667 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:

1 555,320,555
-1 -555,320,555

Let's try dividing by 4:

555,320,555 ÷ 4 = 138,830,138.75

If the quotient is a whole number, then 4 and 138,830,138.75 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:

1 555,320,555
-1 555,320,555
Keep dividing by the next highest number until you cannot divide anymore.

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

1517852631,3154,47122,35524,841124,205422,2972,111,4856,533,18332,665,915111,064,111555,320,555
-1-5-17-85-263-1,315-4,471-22,355-24,841-124,205-422,297-2,111,485-6,533,183-32,665,915-111,064,111-555,320,555

More Examples

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