Q: What are the factor combinations of the number 18,855,025?

 A:
Positive:   1 x 188550255 x 37710057 x 269357525 x 75420135 x 538715163 x 115675175 x 107743661 x 28525815 x 231351141 x 165253305 x 57054075 x 4627
Negative: -1 x -18855025-5 x -3771005-7 x -2693575-25 x -754201-35 x -538715-163 x -115675-175 x -107743-661 x -28525-815 x -23135-1141 x -16525-3305 x -5705-4075 x -4627


How do I find the factor combinations of the number 18,855,025?

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 18,855,025, 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 18,855,025
-1 -18,855,025

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 18,855,025.

Example:
1 x 18,855,025 = 18,855,025
and
-1 x -18,855,025 = 18,855,025
Notice both answers equal 18,855,025

With that explanation out of the way, let's continue. Next, we take the number 18,855,025 and divide it by 2:

18,855,025 ÷ 2 = 9,427,512.5

If the quotient is a whole number, then 2 and 9,427,512.5 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 18,855,025
-1 -18,855,025

Now, we try dividing 18,855,025 by 3:

18,855,025 ÷ 3 = 6,285,008.3333

If the quotient is a whole number, then 3 and 6,285,008.3333 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 18,855,025
-1 -18,855,025

Let's try dividing by 4:

18,855,025 ÷ 4 = 4,713,756.25

If the quotient is a whole number, then 4 and 4,713,756.25 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 18,855,025
-1 18,855,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351631756618151,1413,3054,0754,6275,70516,52523,13528,525107,743115,675538,715754,2012,693,5753,771,00518,855,025
-1-5-7-25-35-163-175-661-815-1,141-3,305-4,075-4,627-5,705-16,525-23,135-28,525-107,743-115,675-538,715-754,201-2,693,575-3,771,005-18,855,025

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