Q: What are the factor combinations of the number 10,807,325?

 A:
Positive:   1 x 108073255 x 216146517 x 63572525 x 43229359 x 18317585 x 127145295 x 36635425 x 25429431 x 250751003 x 107751475 x 73272155 x 5015
Negative: -1 x -10807325-5 x -2161465-17 x -635725-25 x -432293-59 x -183175-85 x -127145-295 x -36635-425 x -25429-431 x -25075-1003 x -10775-1475 x -7327-2155 x -5015


How do I find the factor combinations of the number 10,807,325?

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 10,807,325, 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 10,807,325
-1 -10,807,325

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 10,807,325.

Example:
1 x 10,807,325 = 10,807,325
and
-1 x -10,807,325 = 10,807,325
Notice both answers equal 10,807,325

With that explanation out of the way, let's continue. Next, we take the number 10,807,325 and divide it by 2:

10,807,325 ÷ 2 = 5,403,662.5

If the quotient is a whole number, then 2 and 5,403,662.5 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 10,807,325
-1 -10,807,325

Now, we try dividing 10,807,325 by 3:

10,807,325 ÷ 3 = 3,602,441.6667

If the quotient is a whole number, then 3 and 3,602,441.6667 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 10,807,325
-1 -10,807,325

Let's try dividing by 4:

10,807,325 ÷ 4 = 2,701,831.25

If the quotient is a whole number, then 4 and 2,701,831.25 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 10,807,325
-1 10,807,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15172559852954254311,0031,4752,1555,0157,32710,77525,07525,42936,635127,145183,175432,293635,7252,161,46510,807,325
-1-5-17-25-59-85-295-425-431-1,003-1,475-2,155-5,015-7,327-10,775-25,075-25,429-36,635-127,145-183,175-432,293-635,725-2,161,465-10,807,325

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