Q: What are the factor combinations of the number 11,807,425?

 A:
Positive:   1 x 118074255 x 23614857 x 168677525 x 47229735 x 337355109 x 108325175 x 67471545 x 21665619 x 19075763 x 154752725 x 43333095 x 3815
Negative: -1 x -11807425-5 x -2361485-7 x -1686775-25 x -472297-35 x -337355-109 x -108325-175 x -67471-545 x -21665-619 x -19075-763 x -15475-2725 x -4333-3095 x -3815


How do I find the factor combinations of the number 11,807,425?

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 11,807,425, 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 11,807,425
-1 -11,807,425

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 11,807,425.

Example:
1 x 11,807,425 = 11,807,425
and
-1 x -11,807,425 = 11,807,425
Notice both answers equal 11,807,425

With that explanation out of the way, let's continue. Next, we take the number 11,807,425 and divide it by 2:

11,807,425 ÷ 2 = 5,903,712.5

If the quotient is a whole number, then 2 and 5,903,712.5 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 11,807,425
-1 -11,807,425

Now, we try dividing 11,807,425 by 3:

11,807,425 ÷ 3 = 3,935,808.3333

If the quotient is a whole number, then 3 and 3,935,808.3333 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 11,807,425
-1 -11,807,425

Let's try dividing by 4:

11,807,425 ÷ 4 = 2,951,856.25

If the quotient is a whole number, then 4 and 2,951,856.25 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 11,807,425
-1 11,807,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351091755456197632,7253,0953,8154,33315,47519,07521,66567,471108,325337,355472,2971,686,7752,361,48511,807,425
-1-5-7-25-35-109-175-545-619-763-2,725-3,095-3,815-4,333-15,475-19,075-21,665-67,471-108,325-337,355-472,297-1,686,775-2,361,485-11,807,425

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