Q: What are the factor combinations of the number 25,536,133?

 A:
Positive:   1 x 255361337 x 364801919 x 1344007101 x 252833133 x 192001707 x 361191901 x 134331919 x 13307
Negative: -1 x -25536133-7 x -3648019-19 x -1344007-101 x -252833-133 x -192001-707 x -36119-1901 x -13433-1919 x -13307


How do I find the factor combinations of the number 25,536,133?

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 25,536,133, 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 25,536,133
-1 -25,536,133

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 25,536,133.

Example:
1 x 25,536,133 = 25,536,133
and
-1 x -25,536,133 = 25,536,133
Notice both answers equal 25,536,133

With that explanation out of the way, let's continue. Next, we take the number 25,536,133 and divide it by 2:

25,536,133 ÷ 2 = 12,768,066.5

If the quotient is a whole number, then 2 and 12,768,066.5 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 25,536,133
-1 -25,536,133

Now, we try dividing 25,536,133 by 3:

25,536,133 ÷ 3 = 8,512,044.3333

If the quotient is a whole number, then 3 and 8,512,044.3333 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 25,536,133
-1 -25,536,133

Let's try dividing by 4:

25,536,133 ÷ 4 = 6,384,033.25

If the quotient is a whole number, then 4 and 6,384,033.25 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 25,536,133
-1 25,536,133
Keep dividing by the next highest number until you cannot divide anymore.

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

17191011337071,9011,91913,30713,43336,119192,001252,8331,344,0073,648,01925,536,133
-1-7-19-101-133-707-1,901-1,919-13,307-13,433-36,119-192,001-252,833-1,344,007-3,648,019-25,536,133

More Examples

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