Q: What are the factor combinations of the number 525,020,431?

 A:
Positive:   1 x 52502043113 x 40386187107 x 4906733587 x 894413643 x 8165171391 x 3774417631 x 688018359 x 62809
Negative: -1 x -525020431-13 x -40386187-107 x -4906733-587 x -894413-643 x -816517-1391 x -377441-7631 x -68801-8359 x -62809


How do I find the factor combinations of the number 525,020,431?

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 525,020,431, 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.

1 525,020,431
-1 -525,020,431

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 525,020,431.

Example:
1 x 525,020,431 = 525,020,431
and
-1 x -525,020,431 = 525,020,431
Notice both answers equal 525,020,431

With that explanation out of the way, let's continue. Next, we take the number 525,020,431 and divide it by 2:

525,020,431 ÷ 2 = 262,510,215.5

If the quotient is a whole number, then 2 and 262,510,215.5 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:

1 525,020,431
-1 -525,020,431

Now, we try dividing 525,020,431 by 3:

525,020,431 ÷ 3 = 175,006,810.3333

If the quotient is a whole number, then 3 and 175,006,810.3333 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:

1 525,020,431
-1 -525,020,431

Let's try dividing by 4:

525,020,431 ÷ 4 = 131,255,107.75

If the quotient is a whole number, then 4 and 131,255,107.75 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:

1 525,020,431
-1 525,020,431
Keep dividing by the next highest number until you cannot divide anymore.

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

1131075876431,3917,6318,35962,80968,801377,441816,517894,4134,906,73340,386,187525,020,431
-1-13-107-587-643-1,391-7,631-8,359-62,809-68,801-377,441-816,517-894,413-4,906,733-40,386,187-525,020,431

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