Q: What are the factor combinations of the number 11,040,425?

 A:
Positive:   1 x 110404255 x 220808511 x 100367519 x 58107525 x 44161755 x 20073595 x 116215209 x 52825275 x 40147475 x 232431045 x 105652113 x 5225
Negative: -1 x -11040425-5 x -2208085-11 x -1003675-19 x -581075-25 x -441617-55 x -200735-95 x -116215-209 x -52825-275 x -40147-475 x -23243-1045 x -10565-2113 x -5225


How do I find the factor combinations of the number 11,040,425?

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 11,040,425, 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 11,040,425
-1 -11,040,425

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 11,040,425.

Example:
1 x 11,040,425 = 11,040,425
and
-1 x -11,040,425 = 11,040,425
Notice both answers equal 11,040,425

With that explanation out of the way, let's continue. Next, we take the number 11,040,425 and divide it by 2:

11,040,425 ÷ 2 = 5,520,212.5

If the quotient is a whole number, then 2 and 5,520,212.5 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 11,040,425
-1 -11,040,425

Now, we try dividing 11,040,425 by 3:

11,040,425 ÷ 3 = 3,680,141.6667

If the quotient is a whole number, then 3 and 3,680,141.6667 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 11,040,425
-1 -11,040,425

Let's try dividing by 4:

11,040,425 ÷ 4 = 2,760,106.25

If the quotient is a whole number, then 4 and 2,760,106.25 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 11,040,425
-1 11,040,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1511192555952092754751,0452,1135,22510,56523,24340,14752,825116,215200,735441,617581,0751,003,6752,208,08511,040,425
-1-5-11-19-25-55-95-209-275-475-1,045-2,113-5,225-10,565-23,243-40,147-52,825-116,215-200,735-441,617-581,075-1,003,675-2,208,085-11,040,425

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