Q: What are the factor combinations of the number 26,002,625?

 A:
Positive:   1 x 260026255 x 520052511 x 236387525 x 104010555 x 472775125 x 208021275 x 945551375 x 18911
Negative: -1 x -26002625-5 x -5200525-11 x -2363875-25 x -1040105-55 x -472775-125 x -208021-275 x -94555-1375 x -18911


How do I find the factor combinations of the number 26,002,625?

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 26,002,625, 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 26,002,625
-1 -26,002,625

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 26,002,625.

Example:
1 x 26,002,625 = 26,002,625
and
-1 x -26,002,625 = 26,002,625
Notice both answers equal 26,002,625

With that explanation out of the way, let's continue. Next, we take the number 26,002,625 and divide it by 2:

26,002,625 ÷ 2 = 13,001,312.5

If the quotient is a whole number, then 2 and 13,001,312.5 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 26,002,625
-1 -26,002,625

Now, we try dividing 26,002,625 by 3:

26,002,625 ÷ 3 = 8,667,541.6667

If the quotient is a whole number, then 3 and 8,667,541.6667 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 26,002,625
-1 -26,002,625

Let's try dividing by 4:

26,002,625 ÷ 4 = 6,500,656.25

If the quotient is a whole number, then 4 and 6,500,656.25 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 26,002,625
-1 26,002,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252751,37518,91194,555208,021472,7751,040,1052,363,8755,200,52526,002,625
-1-5-11-25-55-125-275-1,375-18,911-94,555-208,021-472,775-1,040,105-2,363,875-5,200,525-26,002,625

More Examples

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