Q: What are the factor combinations of the number 13,444,025?

 A:
Positive:   1 x 134440255 x 26888057 x 192057517 x 79082525 x 53776135 x 38411585 x 158165119 x 112975175 x 76823425 x 31633595 x 225952975 x 4519
Negative: -1 x -13444025-5 x -2688805-7 x -1920575-17 x -790825-25 x -537761-35 x -384115-85 x -158165-119 x -112975-175 x -76823-425 x -31633-595 x -22595-2975 x -4519


How do I find the factor combinations of the number 13,444,025?

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 13,444,025, 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 13,444,025
-1 -13,444,025

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 13,444,025.

Example:
1 x 13,444,025 = 13,444,025
and
-1 x -13,444,025 = 13,444,025
Notice both answers equal 13,444,025

With that explanation out of the way, let's continue. Next, we take the number 13,444,025 and divide it by 2:

13,444,025 ÷ 2 = 6,722,012.5

If the quotient is a whole number, then 2 and 6,722,012.5 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 13,444,025
-1 -13,444,025

Now, we try dividing 13,444,025 by 3:

13,444,025 ÷ 3 = 4,481,341.6667

If the quotient is a whole number, then 3 and 4,481,341.6667 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 13,444,025
-1 -13,444,025

Let's try dividing by 4:

13,444,025 ÷ 4 = 3,361,006.25

If the quotient is a whole number, then 4 and 3,361,006.25 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 13,444,025
-1 13,444,025
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851191754255952,9754,51922,59531,63376,823112,975158,165384,115537,761790,8251,920,5752,688,80513,444,025
-1-5-7-17-25-35-85-119-175-425-595-2,975-4,519-22,595-31,633-76,823-112,975-158,165-384,115-537,761-790,825-1,920,575-2,688,805-13,444,025

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