Q: What are the factor combinations of the number 523,400,015?

 A:
Positive:   1 x 5234000155 x 104680003109 x 4801835545 x 960367727 x 7199451321 x 3962153635 x 1439896605 x 79243
Negative: -1 x -523400015-5 x -104680003-109 x -4801835-545 x -960367-727 x -719945-1321 x -396215-3635 x -143989-6605 x -79243


How do I find the factor combinations of the number 523,400,015?

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 523,400,015, 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.

1 523,400,015
-1 -523,400,015

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 523,400,015.

Example:
1 x 523,400,015 = 523,400,015
and
-1 x -523,400,015 = 523,400,015
Notice both answers equal 523,400,015

With that explanation out of the way, let's continue. Next, we take the number 523,400,015 and divide it by 2:

523,400,015 ÷ 2 = 261,700,007.5

If the quotient is a whole number, then 2 and 261,700,007.5 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:

1 523,400,015
-1 -523,400,015

Now, we try dividing 523,400,015 by 3:

523,400,015 ÷ 3 = 174,466,671.6667

If the quotient is a whole number, then 3 and 174,466,671.6667 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:

1 523,400,015
-1 -523,400,015

Let's try dividing by 4:

523,400,015 ÷ 4 = 130,850,003.75

If the quotient is a whole number, then 4 and 130,850,003.75 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:

1 523,400,015
-1 523,400,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151095457271,3213,6356,60579,243143,989396,215719,945960,3674,801,835104,680,003523,400,015
-1-5-109-545-727-1,321-3,635-6,605-79,243-143,989-396,215-719,945-960,367-4,801,835-104,680,003-523,400,015

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