Q: What are the factor combinations of the number 264,412,135?

 A:
Positive:   1 x 2644121355 x 5288242713 x 2033939517 x 1555365565 x 406787985 x 3110731221 x 11964351105 x 239287
Negative: -1 x -264412135-5 x -52882427-13 x -20339395-17 x -15553655-65 x -4067879-85 x -3110731-221 x -1196435-1105 x -239287


How do I find the factor combinations of the number 264,412,135?

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 264,412,135, 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.

1 264,412,135
-1 -264,412,135

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 264,412,135.

Example:
1 x 264,412,135 = 264,412,135
and
-1 x -264,412,135 = 264,412,135
Notice both answers equal 264,412,135

With that explanation out of the way, let's continue. Next, we take the number 264,412,135 and divide it by 2:

264,412,135 ÷ 2 = 132,206,067.5

If the quotient is a whole number, then 2 and 132,206,067.5 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:

1 264,412,135
-1 -264,412,135

Now, we try dividing 264,412,135 by 3:

264,412,135 ÷ 3 = 88,137,378.3333

If the quotient is a whole number, then 3 and 88,137,378.3333 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:

1 264,412,135
-1 -264,412,135

Let's try dividing by 4:

264,412,135 ÷ 4 = 66,103,033.75

If the quotient is a whole number, then 4 and 66,103,033.75 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:

1 264,412,135
-1 264,412,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852211,105239,2871,196,4353,110,7314,067,87915,553,65520,339,39552,882,427264,412,135
-1-5-13-17-65-85-221-1,105-239,287-1,196,435-3,110,731-4,067,879-15,553,655-20,339,395-52,882,427-264,412,135

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