Q: What are the factor combinations of the number 555,320,515?

 A:
Positive:   1 x 5553205155 x 11106410331 x 1791356561 x 9103615155 x 3582713305 x 18207231891 x 2936659455 x 58733
Negative: -1 x -555320515-5 x -111064103-31 x -17913565-61 x -9103615-155 x -3582713-305 x -1820723-1891 x -293665-9455 x -58733


How do I find the factor combinations of the number 555,320,515?

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 555,320,515, 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.

1 555,320,515
-1 -555,320,515

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 555,320,515.

Example:
1 x 555,320,515 = 555,320,515
and
-1 x -555,320,515 = 555,320,515
Notice both answers equal 555,320,515

With that explanation out of the way, let's continue. Next, we take the number 555,320,515 and divide it by 2:

555,320,515 ÷ 2 = 277,660,257.5

If the quotient is a whole number, then 2 and 277,660,257.5 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:

1 555,320,515
-1 -555,320,515

Now, we try dividing 555,320,515 by 3:

555,320,515 ÷ 3 = 185,106,838.3333

If the quotient is a whole number, then 3 and 185,106,838.3333 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:

1 555,320,515
-1 -555,320,515

Let's try dividing by 4:

555,320,515 ÷ 4 = 138,830,128.75

If the quotient is a whole number, then 4 and 138,830,128.75 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:

1 555,320,515
-1 555,320,515
Keep dividing by the next highest number until you cannot divide anymore.

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

1531611553051,8919,45558,733293,6651,820,7233,582,7139,103,61517,913,565111,064,103555,320,515
-1-5-31-61-155-305-1,891-9,455-58,733-293,665-1,820,723-3,582,713-9,103,615-17,913,565-111,064,103-555,320,515

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