Q: What are the factor combinations of the number 555,233,231?

 A:
Positive:   1 x 5552332317 x 7931903347 x 1181347383 x 6689557329 x 1687639581 x 9556513901 x 14233120333 x 27307
Negative: -1 x -555233231-7 x -79319033-47 x -11813473-83 x -6689557-329 x -1687639-581 x -955651-3901 x -142331-20333 x -27307


How do I find the factor combinations of the number 555,233,231?

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 555,233,231, 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.

1 555,233,231
-1 -555,233,231

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 555,233,231.

Example:
1 x 555,233,231 = 555,233,231
and
-1 x -555,233,231 = 555,233,231
Notice both answers equal 555,233,231

With that explanation out of the way, let's continue. Next, we take the number 555,233,231 and divide it by 2:

555,233,231 ÷ 2 = 277,616,615.5

If the quotient is a whole number, then 2 and 277,616,615.5 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:

1 555,233,231
-1 -555,233,231

Now, we try dividing 555,233,231 by 3:

555,233,231 ÷ 3 = 185,077,743.6667

If the quotient is a whole number, then 3 and 185,077,743.6667 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:

1 555,233,231
-1 -555,233,231

Let's try dividing by 4:

555,233,231 ÷ 4 = 138,808,307.75

If the quotient is a whole number, then 4 and 138,808,307.75 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:

1 555,233,231
-1 555,233,231
Keep dividing by the next highest number until you cannot divide anymore.

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

1747833295813,90120,33327,307142,331955,6511,687,6396,689,55711,813,47379,319,033555,233,231
-1-7-47-83-329-581-3,901-20,333-27,307-142,331-955,651-1,687,639-6,689,557-11,813,473-79,319,033-555,233,231

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