Q: What are the factor combinations of the number 845,635,259?

 A:
Positive:   1 x 8456352597 x 12080503737 x 2285500759 x 14332801259 x 3265001413 x 20475432183 x 38737315281 x 55339
Negative: -1 x -845635259-7 x -120805037-37 x -22855007-59 x -14332801-259 x -3265001-413 x -2047543-2183 x -387373-15281 x -55339


How do I find the factor combinations of the number 845,635,259?

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 845,635,259, 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.

1 845,635,259
-1 -845,635,259

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 845,635,259.

Example:
1 x 845,635,259 = 845,635,259
and
-1 x -845,635,259 = 845,635,259
Notice both answers equal 845,635,259

With that explanation out of the way, let's continue. Next, we take the number 845,635,259 and divide it by 2:

845,635,259 ÷ 2 = 422,817,629.5

If the quotient is a whole number, then 2 and 422,817,629.5 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:

1 845,635,259
-1 -845,635,259

Now, we try dividing 845,635,259 by 3:

845,635,259 ÷ 3 = 281,878,419.6667

If the quotient is a whole number, then 3 and 281,878,419.6667 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:

1 845,635,259
-1 -845,635,259

Let's try dividing by 4:

845,635,259 ÷ 4 = 211,408,814.75

If the quotient is a whole number, then 4 and 211,408,814.75 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:

1 845,635,259
-1 845,635,259
Keep dividing by the next highest number until you cannot divide anymore.

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

1737592594132,18315,28155,339387,3732,047,5433,265,00114,332,80122,855,007120,805,037845,635,259
-1-7-37-59-259-413-2,183-15,281-55,339-387,373-2,047,543-3,265,001-14,332,801-22,855,007-120,805,037-845,635,259

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