Q: What are the factor combinations of the number 25,500,013?

 A:
Positive:   1 x 255000137 x 364285911 x 231818361 x 41803377 x 33116989 x 286517427 x 59719623 x 40931671 x 38003979 x 260473721 x 68534697 x 5429
Negative: -1 x -25500013-7 x -3642859-11 x -2318183-61 x -418033-77 x -331169-89 x -286517-427 x -59719-623 x -40931-671 x -38003-979 x -26047-3721 x -6853-4697 x -5429


How do I find the factor combinations of the number 25,500,013?

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 25,500,013, 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 25,500,013
-1 -25,500,013

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 25,500,013.

Example:
1 x 25,500,013 = 25,500,013
and
-1 x -25,500,013 = 25,500,013
Notice both answers equal 25,500,013

With that explanation out of the way, let's continue. Next, we take the number 25,500,013 and divide it by 2:

25,500,013 ÷ 2 = 12,750,006.5

If the quotient is a whole number, then 2 and 12,750,006.5 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 25,500,013
-1 -25,500,013

Now, we try dividing 25,500,013 by 3:

25,500,013 ÷ 3 = 8,500,004.3333

If the quotient is a whole number, then 3 and 8,500,004.3333 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 25,500,013
-1 -25,500,013

Let's try dividing by 4:

25,500,013 ÷ 4 = 6,375,003.25

If the quotient is a whole number, then 4 and 6,375,003.25 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 25,500,013
-1 25,500,013
Keep dividing by the next highest number until you cannot divide anymore.

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

17116177894276236719793,7214,6975,4296,85326,04738,00340,93159,719286,517331,169418,0332,318,1833,642,85925,500,013
-1-7-11-61-77-89-427-623-671-979-3,721-4,697-5,429-6,853-26,047-38,003-40,931-59,719-286,517-331,169-418,033-2,318,183-3,642,859-25,500,013

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