Q: What are the factor combinations of the number 555,886,109?

 A:
Positive:   1 x 55588610983 x 6697423
Negative: -1 x -555886109-83 x -6697423


How do I find the factor combinations of the number 555,886,109?

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 555,886,109, 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.

1 555,886,109
-1 -555,886,109

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 555,886,109.

Example:
1 x 555,886,109 = 555,886,109
and
-1 x -555,886,109 = 555,886,109
Notice both answers equal 555,886,109

With that explanation out of the way, let's continue. Next, we take the number 555,886,109 and divide it by 2:

555,886,109 ÷ 2 = 277,943,054.5

If the quotient is a whole number, then 2 and 277,943,054.5 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:

1 555,886,109
-1 -555,886,109

Now, we try dividing 555,886,109 by 3:

555,886,109 ÷ 3 = 185,295,369.6667

If the quotient is a whole number, then 3 and 185,295,369.6667 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:

1 555,886,109
-1 -555,886,109

Let's try dividing by 4:

555,886,109 ÷ 4 = 138,971,527.25

If the quotient is a whole number, then 4 and 138,971,527.25 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:

1 555,886,109
-1 555,886,109
Keep dividing by the next highest number until you cannot divide anymore.

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

1836,697,423555,886,109
-1-83-6,697,423-555,886,109

More Examples

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