Q: What are the factor combinations of the number 20,110,025?

 A:
Positive:   1 x 201100255 x 402200513 x 154692525 x 80440143 x 46767565 x 309385215 x 93535325 x 61877559 x 359751075 x 187071439 x 139752795 x 7195
Negative: -1 x -20110025-5 x -4022005-13 x -1546925-25 x -804401-43 x -467675-65 x -309385-215 x -93535-325 x -61877-559 x -35975-1075 x -18707-1439 x -13975-2795 x -7195


How do I find the factor combinations of the number 20,110,025?

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 20,110,025, 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 20,110,025
-1 -20,110,025

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 20,110,025.

Example:
1 x 20,110,025 = 20,110,025
and
-1 x -20,110,025 = 20,110,025
Notice both answers equal 20,110,025

With that explanation out of the way, let's continue. Next, we take the number 20,110,025 and divide it by 2:

20,110,025 ÷ 2 = 10,055,012.5

If the quotient is a whole number, then 2 and 10,055,012.5 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 20,110,025
-1 -20,110,025

Now, we try dividing 20,110,025 by 3:

20,110,025 ÷ 3 = 6,703,341.6667

If the quotient is a whole number, then 3 and 6,703,341.6667 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 20,110,025
-1 -20,110,025

Let's try dividing by 4:

20,110,025 ÷ 4 = 5,027,506.25

If the quotient is a whole number, then 4 and 5,027,506.25 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 20,110,025
-1 20,110,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15132543652153255591,0751,4392,7957,19513,97518,70735,97561,87793,535309,385467,675804,4011,546,9254,022,00520,110,025
-1-5-13-25-43-65-215-325-559-1,075-1,439-2,795-7,195-13,975-18,707-35,975-61,877-93,535-309,385-467,675-804,401-1,546,925-4,022,005-20,110,025

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