Q: What are the factor combinations of the number 725,255?

 A:
Positive:   1 x 7252555 x 14505173 x 9935365 x 1987
Negative: -1 x -725255-5 x -145051-73 x -9935-365 x -1987


How do I find the factor combinations of the number 725,255?

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 725,255, 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.

1 725,255
-1 -725,255

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 725,255.

Example:
1 x 725,255 = 725,255
and
-1 x -725,255 = 725,255
Notice both answers equal 725,255

With that explanation out of the way, let's continue. Next, we take the number 725,255 and divide it by 2:

725,255 ÷ 2 = 362,627.5

If the quotient is a whole number, then 2 and 362,627.5 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:

1 725,255
-1 -725,255

Now, we try dividing 725,255 by 3:

725,255 ÷ 3 = 241,751.6667

If the quotient is a whole number, then 3 and 241,751.6667 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:

1 725,255
-1 -725,255

Let's try dividing by 4:

725,255 ÷ 4 = 181,313.75

If the quotient is a whole number, then 4 and 181,313.75 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:

1 725,255
-1 725,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15733651,9879,935145,051725,255
-1-5-73-365-1,987-9,935-145,051-725,255

More Examples

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