Q: What are the factor combinations of the number 255,560,023?

 A:
Positive:   1 x 25556002379 x 3234937197 x 129725915563 x 16421
Negative: -1 x -255560023-79 x -3234937-197 x -1297259-15563 x -16421


How do I find the factor combinations of the number 255,560,023?

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 255,560,023, 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.

1 255,560,023
-1 -255,560,023

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 255,560,023.

Example:
1 x 255,560,023 = 255,560,023
and
-1 x -255,560,023 = 255,560,023
Notice both answers equal 255,560,023

With that explanation out of the way, let's continue. Next, we take the number 255,560,023 and divide it by 2:

255,560,023 ÷ 2 = 127,780,011.5

If the quotient is a whole number, then 2 and 127,780,011.5 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:

1 255,560,023
-1 -255,560,023

Now, we try dividing 255,560,023 by 3:

255,560,023 ÷ 3 = 85,186,674.3333

If the quotient is a whole number, then 3 and 85,186,674.3333 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:

1 255,560,023
-1 -255,560,023

Let's try dividing by 4:

255,560,023 ÷ 4 = 63,890,005.75

If the quotient is a whole number, then 4 and 63,890,005.75 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:

1 255,560,023
-1 255,560,023
Keep dividing by the next highest number until you cannot divide anymore.

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

17919715,56316,4211,297,2593,234,937255,560,023
-1-79-197-15,563-16,421-1,297,259-3,234,937-255,560,023

More Examples

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