Q: What are the factor combinations of the number 12,858,025?

 A:
Positive:   1 x 128580255 x 257160525 x 51432131 x 41477547 x 273575155 x 82955235 x 54715353 x 36425775 x 165911175 x 109431457 x 88251765 x 7285
Negative: -1 x -12858025-5 x -2571605-25 x -514321-31 x -414775-47 x -273575-155 x -82955-235 x -54715-353 x -36425-775 x -16591-1175 x -10943-1457 x -8825-1765 x -7285


How do I find the factor combinations of the number 12,858,025?

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 12,858,025, 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 12,858,025
-1 -12,858,025

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 12,858,025.

Example:
1 x 12,858,025 = 12,858,025
and
-1 x -12,858,025 = 12,858,025
Notice both answers equal 12,858,025

With that explanation out of the way, let's continue. Next, we take the number 12,858,025 and divide it by 2:

12,858,025 ÷ 2 = 6,429,012.5

If the quotient is a whole number, then 2 and 6,429,012.5 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 12,858,025
-1 -12,858,025

Now, we try dividing 12,858,025 by 3:

12,858,025 ÷ 3 = 4,286,008.3333

If the quotient is a whole number, then 3 and 4,286,008.3333 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 12,858,025
-1 -12,858,025

Let's try dividing by 4:

12,858,025 ÷ 4 = 3,214,506.25

If the quotient is a whole number, then 4 and 3,214,506.25 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 12,858,025
-1 12,858,025
Keep dividing by the next highest number until you cannot divide anymore.

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

152531471552353537751,1751,4571,7657,2858,82510,94316,59136,42554,71582,955273,575414,775514,3212,571,60512,858,025
-1-5-25-31-47-155-235-353-775-1,175-1,457-1,765-7,285-8,825-10,943-16,591-36,425-54,715-82,955-273,575-414,775-514,321-2,571,605-12,858,025

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