Q: What are the factor combinations of the number 555,645,431?

 A:
Positive:   1 x 55564543111 x 5051322123 x 24158497121 x 4592111253 x 21962272783 x 199657
Negative: -1 x -555645431-11 x -50513221-23 x -24158497-121 x -4592111-253 x -2196227-2783 x -199657


How do I find the factor combinations of the number 555,645,431?

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 555,645,431, 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.

1 555,645,431
-1 -555,645,431

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 555,645,431.

Example:
1 x 555,645,431 = 555,645,431
and
-1 x -555,645,431 = 555,645,431
Notice both answers equal 555,645,431

With that explanation out of the way, let's continue. Next, we take the number 555,645,431 and divide it by 2:

555,645,431 ÷ 2 = 277,822,715.5

If the quotient is a whole number, then 2 and 277,822,715.5 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:

1 555,645,431
-1 -555,645,431

Now, we try dividing 555,645,431 by 3:

555,645,431 ÷ 3 = 185,215,143.6667

If the quotient is a whole number, then 3 and 185,215,143.6667 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:

1 555,645,431
-1 -555,645,431

Let's try dividing by 4:

555,645,431 ÷ 4 = 138,911,357.75

If the quotient is a whole number, then 4 and 138,911,357.75 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:

1 555,645,431
-1 555,645,431
Keep dividing by the next highest number until you cannot divide anymore.

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

111231212532,783199,6572,196,2274,592,11124,158,49750,513,221555,645,431
-1-11-23-121-253-2,783-199,657-2,196,227-4,592,111-24,158,497-50,513,221-555,645,431

More Examples

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