Q: What are the factor combinations of the number 504,443,521?

 A:
Positive:   1 x 50444352119 x 2654965923 x 21932327193 x 2613697437 x 11543333667 x 1375634439 x 1136395981 x 84341
Negative: -1 x -504443521-19 x -26549659-23 x -21932327-193 x -2613697-437 x -1154333-3667 x -137563-4439 x -113639-5981 x -84341


How do I find the factor combinations of the number 504,443,521?

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 504,443,521, 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.

1 504,443,521
-1 -504,443,521

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 504,443,521.

Example:
1 x 504,443,521 = 504,443,521
and
-1 x -504,443,521 = 504,443,521
Notice both answers equal 504,443,521

With that explanation out of the way, let's continue. Next, we take the number 504,443,521 and divide it by 2:

504,443,521 ÷ 2 = 252,221,760.5

If the quotient is a whole number, then 2 and 252,221,760.5 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:

1 504,443,521
-1 -504,443,521

Now, we try dividing 504,443,521 by 3:

504,443,521 ÷ 3 = 168,147,840.3333

If the quotient is a whole number, then 3 and 168,147,840.3333 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:

1 504,443,521
-1 -504,443,521

Let's try dividing by 4:

504,443,521 ÷ 4 = 126,110,880.25

If the quotient is a whole number, then 4 and 126,110,880.25 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:

1 504,443,521
-1 504,443,521
Keep dividing by the next highest number until you cannot divide anymore.

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

119231934373,6674,4395,98184,341113,639137,5631,154,3332,613,69721,932,32726,549,659504,443,521
-1-19-23-193-437-3,667-4,439-5,981-84,341-113,639-137,563-1,154,333-2,613,697-21,932,327-26,549,659-504,443,521

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