Q: What are the factor combinations of the number 25,108,085?

 A:
Positive:   1 x 251080855 x 502161771 x 353635107 x 234655355 x 70727535 x 46931661 x 379853305 x 7597
Negative: -1 x -25108085-5 x -5021617-71 x -353635-107 x -234655-355 x -70727-535 x -46931-661 x -37985-3305 x -7597


How do I find the factor combinations of the number 25,108,085?

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 25,108,085, 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 25,108,085
-1 -25,108,085

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 25,108,085.

Example:
1 x 25,108,085 = 25,108,085
and
-1 x -25,108,085 = 25,108,085
Notice both answers equal 25,108,085

With that explanation out of the way, let's continue. Next, we take the number 25,108,085 and divide it by 2:

25,108,085 ÷ 2 = 12,554,042.5

If the quotient is a whole number, then 2 and 12,554,042.5 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 25,108,085
-1 -25,108,085

Now, we try dividing 25,108,085 by 3:

25,108,085 ÷ 3 = 8,369,361.6667

If the quotient is a whole number, then 3 and 8,369,361.6667 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 25,108,085
-1 -25,108,085

Let's try dividing by 4:

25,108,085 ÷ 4 = 6,277,021.25

If the quotient is a whole number, then 4 and 6,277,021.25 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 25,108,085
-1 25,108,085
Keep dividing by the next highest number until you cannot divide anymore.

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

15711073555356613,3057,59737,98546,93170,727234,655353,6355,021,61725,108,085
-1-5-71-107-355-535-661-3,305-7,597-37,985-46,931-70,727-234,655-353,635-5,021,617-25,108,085

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