Q: What are the factor combinations of the number 11,202,125?

 A:
Positive:   1 x 112021255 x 224042511 x 101837525 x 44808555 x 203675125 x 89617275 x 407351375 x 8147
Negative: -1 x -11202125-5 x -2240425-11 x -1018375-25 x -448085-55 x -203675-125 x -89617-275 x -40735-1375 x -8147


How do I find the factor combinations of the number 11,202,125?

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 11,202,125, 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 11,202,125
-1 -11,202,125

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 11,202,125.

Example:
1 x 11,202,125 = 11,202,125
and
-1 x -11,202,125 = 11,202,125
Notice both answers equal 11,202,125

With that explanation out of the way, let's continue. Next, we take the number 11,202,125 and divide it by 2:

11,202,125 ÷ 2 = 5,601,062.5

If the quotient is a whole number, then 2 and 5,601,062.5 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 11,202,125
-1 -11,202,125

Now, we try dividing 11,202,125 by 3:

11,202,125 ÷ 3 = 3,734,041.6667

If the quotient is a whole number, then 3 and 3,734,041.6667 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 11,202,125
-1 -11,202,125

Let's try dividing by 4:

11,202,125 ÷ 4 = 2,800,531.25

If the quotient is a whole number, then 4 and 2,800,531.25 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 11,202,125
-1 11,202,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252751,3758,14740,73589,617203,675448,0851,018,3752,240,42511,202,125
-1-5-11-25-55-125-275-1,375-8,147-40,735-89,617-203,675-448,085-1,018,375-2,240,425-11,202,125

More Examples

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