Q: What are the factor combinations of the number 256,667,135?

 A:
Positive:   1 x 2566671355 x 5133342731 x 8279585155 x 1655917163 x 1574645815 x 3149295053 x 5079510159 x 25265
Negative: -1 x -256667135-5 x -51333427-31 x -8279585-155 x -1655917-163 x -1574645-815 x -314929-5053 x -50795-10159 x -25265


How do I find the factor combinations of the number 256,667,135?

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 256,667,135, 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.

1 256,667,135
-1 -256,667,135

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 256,667,135.

Example:
1 x 256,667,135 = 256,667,135
and
-1 x -256,667,135 = 256,667,135
Notice both answers equal 256,667,135

With that explanation out of the way, let's continue. Next, we take the number 256,667,135 and divide it by 2:

256,667,135 ÷ 2 = 128,333,567.5

If the quotient is a whole number, then 2 and 128,333,567.5 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:

1 256,667,135
-1 -256,667,135

Now, we try dividing 256,667,135 by 3:

256,667,135 ÷ 3 = 85,555,711.6667

If the quotient is a whole number, then 3 and 85,555,711.6667 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:

1 256,667,135
-1 -256,667,135

Let's try dividing by 4:

256,667,135 ÷ 4 = 64,166,783.75

If the quotient is a whole number, then 4 and 64,166,783.75 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:

1 256,667,135
-1 256,667,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15311551638155,05310,15925,26550,795314,9291,574,6451,655,9178,279,58551,333,427256,667,135
-1-5-31-155-163-815-5,053-10,159-25,265-50,795-314,929-1,574,645-1,655,917-8,279,585-51,333,427-256,667,135

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