Q: What are the factor combinations of the number 13,005,425?

 A:
Positive:   1 x 130054255 x 260108517 x 76502525 x 52021771 x 18317585 x 153005355 x 36635425 x 30601431 x 301751207 x 107751775 x 73272155 x 6035
Negative: -1 x -13005425-5 x -2601085-17 x -765025-25 x -520217-71 x -183175-85 x -153005-355 x -36635-425 x -30601-431 x -30175-1207 x -10775-1775 x -7327-2155 x -6035


How do I find the factor combinations of the number 13,005,425?

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 13,005,425, 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 13,005,425
-1 -13,005,425

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 13,005,425.

Example:
1 x 13,005,425 = 13,005,425
and
-1 x -13,005,425 = 13,005,425
Notice both answers equal 13,005,425

With that explanation out of the way, let's continue. Next, we take the number 13,005,425 and divide it by 2:

13,005,425 ÷ 2 = 6,502,712.5

If the quotient is a whole number, then 2 and 6,502,712.5 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 13,005,425
-1 -13,005,425

Now, we try dividing 13,005,425 by 3:

13,005,425 ÷ 3 = 4,335,141.6667

If the quotient is a whole number, then 3 and 4,335,141.6667 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 13,005,425
-1 -13,005,425

Let's try dividing by 4:

13,005,425 ÷ 4 = 3,251,356.25

If the quotient is a whole number, then 4 and 3,251,356.25 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 13,005,425
-1 13,005,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15172571853554254311,2071,7752,1556,0357,32710,77530,17530,60136,635153,005183,175520,217765,0252,601,08513,005,425
-1-5-17-25-71-85-355-425-431-1,207-1,775-2,155-6,035-7,327-10,775-30,175-30,601-36,635-153,005-183,175-520,217-765,025-2,601,085-13,005,425

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