Q: What are the factor combinations of the number 256,208,425?

 A:
Positive:   1 x 2562084255 x 5124168511 x 2329167525 x 1024833755 x 4658335121 x 2117425275 x 931667605 x 4234853025 x 84697
Negative: -1 x -256208425-5 x -51241685-11 x -23291675-25 x -10248337-55 x -4658335-121 x -2117425-275 x -931667-605 x -423485-3025 x -84697


How do I find the factor combinations of the number 256,208,425?

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 256,208,425, 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.

1 256,208,425
-1 -256,208,425

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 256,208,425.

Example:
1 x 256,208,425 = 256,208,425
and
-1 x -256,208,425 = 256,208,425
Notice both answers equal 256,208,425

With that explanation out of the way, let's continue. Next, we take the number 256,208,425 and divide it by 2:

256,208,425 ÷ 2 = 128,104,212.5

If the quotient is a whole number, then 2 and 128,104,212.5 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:

1 256,208,425
-1 -256,208,425

Now, we try dividing 256,208,425 by 3:

256,208,425 ÷ 3 = 85,402,808.3333

If the quotient is a whole number, then 3 and 85,402,808.3333 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:

1 256,208,425
-1 -256,208,425

Let's try dividing by 4:

256,208,425 ÷ 4 = 64,052,106.25

If the quotient is a whole number, then 4 and 64,052,106.25 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:

1 256,208,425
-1 256,208,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551212756053,02584,697423,485931,6672,117,4254,658,33510,248,33723,291,67551,241,685256,208,425
-1-5-11-25-55-121-275-605-3,025-84,697-423,485-931,667-2,117,425-4,658,335-10,248,337-23,291,675-51,241,685-256,208,425

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