Q: What are the factor combinations of the number 520,011,209?

 A:
Positive:   1 x 52001120919 x 2736901123 x 2260918329 x 1793142137 x 14054357437 x 1189957551 x 943759667 x 779627703 x 739703851 x 6110591073 x 4846331109 x 46890112673 x 4103316169 x 3216120387 x 2550721071 x 24679
Negative: -1 x -520011209-19 x -27369011-23 x -22609183-29 x -17931421-37 x -14054357-437 x -1189957-551 x -943759-667 x -779627-703 x -739703-851 x -611059-1073 x -484633-1109 x -468901-12673 x -41033-16169 x -32161-20387 x -25507-21071 x -24679


How do I find the factor combinations of the number 520,011,209?

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 520,011,209, 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.

1 520,011,209
-1 -520,011,209

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 520,011,209.

Example:
1 x 520,011,209 = 520,011,209
and
-1 x -520,011,209 = 520,011,209
Notice both answers equal 520,011,209

With that explanation out of the way, let's continue. Next, we take the number 520,011,209 and divide it by 2:

520,011,209 ÷ 2 = 260,005,604.5

If the quotient is a whole number, then 2 and 260,005,604.5 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:

1 520,011,209
-1 -520,011,209

Now, we try dividing 520,011,209 by 3:

520,011,209 ÷ 3 = 173,337,069.6667

If the quotient is a whole number, then 3 and 173,337,069.6667 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:

1 520,011,209
-1 -520,011,209

Let's try dividing by 4:

520,011,209 ÷ 4 = 130,002,802.25

If the quotient is a whole number, then 4 and 130,002,802.25 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:

1 520,011,209
-1 520,011,209
Keep dividing by the next highest number until you cannot divide anymore.

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

1192329374375516677038511,0731,10912,67316,16920,38721,07124,67925,50732,16141,033468,901484,633611,059739,703779,627943,7591,189,95714,054,35717,931,42122,609,18327,369,011520,011,209
-1-19-23-29-37-437-551-667-703-851-1,073-1,109-12,673-16,169-20,387-21,071-24,679-25,507-32,161-41,033-468,901-484,633-611,059-739,703-779,627-943,759-1,189,957-14,054,357-17,931,421-22,609,183-27,369,011-520,011,209

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