Q: What are the factor combinations of the number 256,567,655?

 A:
Positive:   1 x 2565676555 x 5131353117 x 1509221585 x 3018443433 x 5925352165 x 1185076971 x 368057361 x 34855
Negative: -1 x -256567655-5 x -51313531-17 x -15092215-85 x -3018443-433 x -592535-2165 x -118507-6971 x -36805-7361 x -34855


How do I find the factor combinations of the number 256,567,655?

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 256,567,655, 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.

1 256,567,655
-1 -256,567,655

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 256,567,655.

Example:
1 x 256,567,655 = 256,567,655
and
-1 x -256,567,655 = 256,567,655
Notice both answers equal 256,567,655

With that explanation out of the way, let's continue. Next, we take the number 256,567,655 and divide it by 2:

256,567,655 ÷ 2 = 128,283,827.5

If the quotient is a whole number, then 2 and 128,283,827.5 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:

1 256,567,655
-1 -256,567,655

Now, we try dividing 256,567,655 by 3:

256,567,655 ÷ 3 = 85,522,551.6667

If the quotient is a whole number, then 3 and 85,522,551.6667 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:

1 256,567,655
-1 -256,567,655

Let's try dividing by 4:

256,567,655 ÷ 4 = 64,141,913.75

If the quotient is a whole number, then 4 and 64,141,913.75 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:

1 256,567,655
-1 256,567,655
Keep dividing by the next highest number until you cannot divide anymore.

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

1517854332,1656,9717,36134,85536,805118,507592,5353,018,44315,092,21551,313,531256,567,655
-1-5-17-85-433-2,165-6,971-7,361-34,855-36,805-118,507-592,535-3,018,443-15,092,215-51,313,531-256,567,655

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