Q: What are the factor combinations of the number 523,355,437?

 A:
Positive:   1 x 52335543711 x 4757776719 x 27545023101 x 5181737209 x 25040931111 x 4710671919 x 27272321109 x 24793
Negative: -1 x -523355437-11 x -47577767-19 x -27545023-101 x -5181737-209 x -2504093-1111 x -471067-1919 x -272723-21109 x -24793


How do I find the factor combinations of the number 523,355,437?

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 523,355,437, 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.

1 523,355,437
-1 -523,355,437

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 523,355,437.

Example:
1 x 523,355,437 = 523,355,437
and
-1 x -523,355,437 = 523,355,437
Notice both answers equal 523,355,437

With that explanation out of the way, let's continue. Next, we take the number 523,355,437 and divide it by 2:

523,355,437 ÷ 2 = 261,677,718.5

If the quotient is a whole number, then 2 and 261,677,718.5 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:

1 523,355,437
-1 -523,355,437

Now, we try dividing 523,355,437 by 3:

523,355,437 ÷ 3 = 174,451,812.3333

If the quotient is a whole number, then 3 and 174,451,812.3333 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:

1 523,355,437
-1 -523,355,437

Let's try dividing by 4:

523,355,437 ÷ 4 = 130,838,859.25

If the quotient is a whole number, then 4 and 130,838,859.25 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:

1 523,355,437
-1 523,355,437
Keep dividing by the next highest number until you cannot divide anymore.

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

111191012091,1111,91921,10924,793272,723471,0672,504,0935,181,73727,545,02347,577,767523,355,437
-1-11-19-101-209-1,111-1,919-21,109-24,793-272,723-471,067-2,504,093-5,181,737-27,545,023-47,577,767-523,355,437

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