Q: What are the factor combinations of the number 855,858,205?

 A:
Positive:   1 x 8558582055 x 17117164173 x 11724085199 x 4300795365 x 2344817995 x 86015911783 x 7263514527 x 58915
Negative: -1 x -855858205-5 x -171171641-73 x -11724085-199 x -4300795-365 x -2344817-995 x -860159-11783 x -72635-14527 x -58915


How do I find the factor combinations of the number 855,858,205?

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 855,858,205, 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.

1 855,858,205
-1 -855,858,205

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 855,858,205.

Example:
1 x 855,858,205 = 855,858,205
and
-1 x -855,858,205 = 855,858,205
Notice both answers equal 855,858,205

With that explanation out of the way, let's continue. Next, we take the number 855,858,205 and divide it by 2:

855,858,205 ÷ 2 = 427,929,102.5

If the quotient is a whole number, then 2 and 427,929,102.5 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:

1 855,858,205
-1 -855,858,205

Now, we try dividing 855,858,205 by 3:

855,858,205 ÷ 3 = 285,286,068.3333

If the quotient is a whole number, then 3 and 285,286,068.3333 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:

1 855,858,205
-1 -855,858,205

Let's try dividing by 4:

855,858,205 ÷ 4 = 213,964,551.25

If the quotient is a whole number, then 4 and 213,964,551.25 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:

1 855,858,205
-1 855,858,205
Keep dividing by the next highest number until you cannot divide anymore.

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

157319936599511,78314,52758,91572,635860,1592,344,8174,300,79511,724,085171,171,641855,858,205
-1-5-73-199-365-995-11,783-14,527-58,915-72,635-860,159-2,344,817-4,300,795-11,724,085-171,171,641-855,858,205

More Examples

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