Q: What are the factor combinations of the number 11,150,425?

 A:
Positive:   1 x 111504255 x 223008511 x 101367513 x 85772525 x 44601755 x 20273565 x 171545143 x 77975275 x 40547325 x 34309715 x 155953119 x 3575
Negative: -1 x -11150425-5 x -2230085-11 x -1013675-13 x -857725-25 x -446017-55 x -202735-65 x -171545-143 x -77975-275 x -40547-325 x -34309-715 x -15595-3119 x -3575


How do I find the factor combinations of the number 11,150,425?

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 11,150,425, 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 11,150,425
-1 -11,150,425

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 11,150,425.

Example:
1 x 11,150,425 = 11,150,425
and
-1 x -11,150,425 = 11,150,425
Notice both answers equal 11,150,425

With that explanation out of the way, let's continue. Next, we take the number 11,150,425 and divide it by 2:

11,150,425 ÷ 2 = 5,575,212.5

If the quotient is a whole number, then 2 and 5,575,212.5 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 11,150,425
-1 -11,150,425

Now, we try dividing 11,150,425 by 3:

11,150,425 ÷ 3 = 3,716,808.3333

If the quotient is a whole number, then 3 and 3,716,808.3333 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 11,150,425
-1 -11,150,425

Let's try dividing by 4:

11,150,425 ÷ 4 = 2,787,606.25

If the quotient is a whole number, then 4 and 2,787,606.25 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 11,150,425
-1 11,150,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1511132555651432753257153,1193,57515,59534,30940,54777,975171,545202,735446,017857,7251,013,6752,230,08511,150,425
-1-5-11-13-25-55-65-143-275-325-715-3,119-3,575-15,595-34,309-40,547-77,975-171,545-202,735-446,017-857,725-1,013,675-2,230,085-11,150,425

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