Q: What are the factor combinations of the number 324,774,163?

 A:
Positive:   1 x 3247741637 x 4639630919 x 17093377133 x 2441911887 x 3661492753 x 1179716209 x 5230716853 x 19271
Negative: -1 x -324774163-7 x -46396309-19 x -17093377-133 x -2441911-887 x -366149-2753 x -117971-6209 x -52307-16853 x -19271


How do I find the factor combinations of the number 324,774,163?

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 324,774,163, 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.

1 324,774,163
-1 -324,774,163

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 324,774,163.

Example:
1 x 324,774,163 = 324,774,163
and
-1 x -324,774,163 = 324,774,163
Notice both answers equal 324,774,163

With that explanation out of the way, let's continue. Next, we take the number 324,774,163 and divide it by 2:

324,774,163 ÷ 2 = 162,387,081.5

If the quotient is a whole number, then 2 and 162,387,081.5 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:

1 324,774,163
-1 -324,774,163

Now, we try dividing 324,774,163 by 3:

324,774,163 ÷ 3 = 108,258,054.3333

If the quotient is a whole number, then 3 and 108,258,054.3333 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:

1 324,774,163
-1 -324,774,163

Let's try dividing by 4:

324,774,163 ÷ 4 = 81,193,540.75

If the quotient is a whole number, then 4 and 81,193,540.75 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:

1 324,774,163
-1 324,774,163
Keep dividing by the next highest number until you cannot divide anymore.

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

17191338872,7536,20916,85319,27152,307117,971366,1492,441,91117,093,37746,396,309324,774,163
-1-7-19-133-887-2,753-6,209-16,853-19,271-52,307-117,971-366,149-2,441,911-17,093,377-46,396,309-324,774,163

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