Q: What are the factor combinations of the number 25,746,425?

 A:
Positive:   1 x 257464255 x 514928519 x 135507525 x 102985767 x 38427595 x 271015335 x 76855475 x 54203809 x 318251273 x 202251675 x 153714045 x 6365
Negative: -1 x -25746425-5 x -5149285-19 x -1355075-25 x -1029857-67 x -384275-95 x -271015-335 x -76855-475 x -54203-809 x -31825-1273 x -20225-1675 x -15371-4045 x -6365


How do I find the factor combinations of the number 25,746,425?

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 25,746,425, 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 25,746,425
-1 -25,746,425

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 25,746,425.

Example:
1 x 25,746,425 = 25,746,425
and
-1 x -25,746,425 = 25,746,425
Notice both answers equal 25,746,425

With that explanation out of the way, let's continue. Next, we take the number 25,746,425 and divide it by 2:

25,746,425 ÷ 2 = 12,873,212.5

If the quotient is a whole number, then 2 and 12,873,212.5 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 25,746,425
-1 -25,746,425

Now, we try dividing 25,746,425 by 3:

25,746,425 ÷ 3 = 8,582,141.6667

If the quotient is a whole number, then 3 and 8,582,141.6667 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 25,746,425
-1 -25,746,425

Let's try dividing by 4:

25,746,425 ÷ 4 = 6,436,606.25

If the quotient is a whole number, then 4 and 6,436,606.25 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 25,746,425
-1 25,746,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15192567953354758091,2731,6754,0456,36515,37120,22531,82554,20376,855271,015384,2751,029,8571,355,0755,149,28525,746,425
-1-5-19-25-67-95-335-475-809-1,273-1,675-4,045-6,365-15,371-20,225-31,825-54,203-76,855-271,015-384,275-1,029,857-1,355,075-5,149,285-25,746,425

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