Q: What are the factor combinations of the number 581,825?

 A:
Positive:   1 x 5818255 x 11636517 x 3422525 x 2327337 x 1572585 x 6845185 x 3145425 x 1369629 x 925
Negative: -1 x -581825-5 x -116365-17 x -34225-25 x -23273-37 x -15725-85 x -6845-185 x -3145-425 x -1369-629 x -925


How do I find the factor combinations of the number 581,825?

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 581,825, 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.

1 581,825
-1 -581,825

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 581,825.

Example:
1 x 581,825 = 581,825
and
-1 x -581,825 = 581,825
Notice both answers equal 581,825

With that explanation out of the way, let's continue. Next, we take the number 581,825 and divide it by 2:

581,825 ÷ 2 = 290,912.5

If the quotient is a whole number, then 2 and 290,912.5 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:

1 581,825
-1 -581,825

Now, we try dividing 581,825 by 3:

581,825 ÷ 3 = 193,941.6667

If the quotient is a whole number, then 3 and 193,941.6667 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:

1 581,825
-1 -581,825

Let's try dividing by 4:

581,825 ÷ 4 = 145,456.25

If the quotient is a whole number, then 4 and 145,456.25 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:

1 581,825
-1 581,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15172537851854256299251,3693,1456,84515,72523,27334,225116,365581,825
-1-5-17-25-37-85-185-425-629-925-1,369-3,145-6,845-15,725-23,273-34,225-116,365-581,825

More Examples

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