Q: What are the factor combinations of the number 11,500,025?

 A:
Positive:   1 x 115000255 x 230000525 x 46000161 x 188525305 x 377051525 x 7541
Negative: -1 x -11500025-5 x -2300005-25 x -460001-61 x -188525-305 x -37705-1525 x -7541


How do I find the factor combinations of the number 11,500,025?

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 11,500,025, 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 11,500,025
-1 -11,500,025

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 11,500,025.

Example:
1 x 11,500,025 = 11,500,025
and
-1 x -11,500,025 = 11,500,025
Notice both answers equal 11,500,025

With that explanation out of the way, let's continue. Next, we take the number 11,500,025 and divide it by 2:

11,500,025 ÷ 2 = 5,750,012.5

If the quotient is a whole number, then 2 and 5,750,012.5 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 11,500,025
-1 -11,500,025

Now, we try dividing 11,500,025 by 3:

11,500,025 ÷ 3 = 3,833,341.6667

If the quotient is a whole number, then 3 and 3,833,341.6667 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 11,500,025
-1 -11,500,025

Let's try dividing by 4:

11,500,025 ÷ 4 = 2,875,006.25

If the quotient is a whole number, then 4 and 2,875,006.25 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 11,500,025
-1 11,500,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1525613051,5257,54137,705188,525460,0012,300,00511,500,025
-1-5-25-61-305-1,525-7,541-37,705-188,525-460,001-2,300,005-11,500,025

More Examples

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