Q: What are the factor combinations of the number 25,610,425?

 A:
Positive:   1 x 256104255 x 512208525 x 102441759 x 43407597 x 264025179 x 143075295 x 86815485 x 52805895 x 286151475 x 173632425 x 105614475 x 5723
Negative: -1 x -25610425-5 x -5122085-25 x -1024417-59 x -434075-97 x -264025-179 x -143075-295 x -86815-485 x -52805-895 x -28615-1475 x -17363-2425 x -10561-4475 x -5723


How do I find the factor combinations of the number 25,610,425?

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 25,610,425, 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 25,610,425
-1 -25,610,425

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 25,610,425.

Example:
1 x 25,610,425 = 25,610,425
and
-1 x -25,610,425 = 25,610,425
Notice both answers equal 25,610,425

With that explanation out of the way, let's continue. Next, we take the number 25,610,425 and divide it by 2:

25,610,425 ÷ 2 = 12,805,212.5

If the quotient is a whole number, then 2 and 12,805,212.5 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 25,610,425
-1 -25,610,425

Now, we try dividing 25,610,425 by 3:

25,610,425 ÷ 3 = 8,536,808.3333

If the quotient is a whole number, then 3 and 8,536,808.3333 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 25,610,425
-1 -25,610,425

Let's try dividing by 4:

25,610,425 ÷ 4 = 6,402,606.25

If the quotient is a whole number, then 4 and 6,402,606.25 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 25,610,425
-1 25,610,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152559971792954858951,4752,4254,4755,72310,56117,36328,61552,80586,815143,075264,025434,0751,024,4175,122,08525,610,425
-1-5-25-59-97-179-295-485-895-1,475-2,425-4,475-5,723-10,561-17,363-28,615-52,805-86,815-143,075-264,025-434,075-1,024,417-5,122,085-25,610,425

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