Q: What are the factor combinations of the number 325,550,617?

 A:
Positive:   1 x 3255506177 x 4650723119 x 17134243133 x 2447749433 x 7518493031 x 1074075653 x 575898227 x 39571
Negative: -1 x -325550617-7 x -46507231-19 x -17134243-133 x -2447749-433 x -751849-3031 x -107407-5653 x -57589-8227 x -39571


How do I find the factor combinations of the number 325,550,617?

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 325,550,617, 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.

1 325,550,617
-1 -325,550,617

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 325,550,617.

Example:
1 x 325,550,617 = 325,550,617
and
-1 x -325,550,617 = 325,550,617
Notice both answers equal 325,550,617

With that explanation out of the way, let's continue. Next, we take the number 325,550,617 and divide it by 2:

325,550,617 ÷ 2 = 162,775,308.5

If the quotient is a whole number, then 2 and 162,775,308.5 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:

1 325,550,617
-1 -325,550,617

Now, we try dividing 325,550,617 by 3:

325,550,617 ÷ 3 = 108,516,872.3333

If the quotient is a whole number, then 3 and 108,516,872.3333 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:

1 325,550,617
-1 -325,550,617

Let's try dividing by 4:

325,550,617 ÷ 4 = 81,387,654.25

If the quotient is a whole number, then 4 and 81,387,654.25 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:

1 325,550,617
-1 325,550,617
Keep dividing by the next highest number until you cannot divide anymore.

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

17191334333,0315,6538,22739,57157,589107,407751,8492,447,74917,134,24346,507,231325,550,617
-1-7-19-133-433-3,031-5,653-8,227-39,571-57,589-107,407-751,849-2,447,749-17,134,243-46,507,231-325,550,617

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