Q: What are the factor combinations of the number 504,425,327?

 A:
Positive:   1 x 5044253277 x 7206076153 x 9517459371 x 1359637557 x 9056112441 x 2066473899 x 12937317087 x 29521
Negative: -1 x -504425327-7 x -72060761-53 x -9517459-371 x -1359637-557 x -905611-2441 x -206647-3899 x -129373-17087 x -29521


How do I find the factor combinations of the number 504,425,327?

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 504,425,327, 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.

1 504,425,327
-1 -504,425,327

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 504,425,327.

Example:
1 x 504,425,327 = 504,425,327
and
-1 x -504,425,327 = 504,425,327
Notice both answers equal 504,425,327

With that explanation out of the way, let's continue. Next, we take the number 504,425,327 and divide it by 2:

504,425,327 ÷ 2 = 252,212,663.5

If the quotient is a whole number, then 2 and 252,212,663.5 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:

1 504,425,327
-1 -504,425,327

Now, we try dividing 504,425,327 by 3:

504,425,327 ÷ 3 = 168,141,775.6667

If the quotient is a whole number, then 3 and 168,141,775.6667 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:

1 504,425,327
-1 -504,425,327

Let's try dividing by 4:

504,425,327 ÷ 4 = 126,106,331.75

If the quotient is a whole number, then 4 and 126,106,331.75 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:

1 504,425,327
-1 504,425,327
Keep dividing by the next highest number until you cannot divide anymore.

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

17533715572,4413,89917,08729,521129,373206,647905,6111,359,6379,517,45972,060,761504,425,327
-1-7-53-371-557-2,441-3,899-17,087-29,521-129,373-206,647-905,611-1,359,637-9,517,459-72,060,761-504,425,327

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