Q: What are the factor combinations of the number 324,402,235?

 A:
Positive:   1 x 3244022355 x 6488044723 x 14104445115 x 2820889
Negative: -1 x -324402235-5 x -64880447-23 x -14104445-115 x -2820889


How do I find the factor combinations of the number 324,402,235?

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 324,402,235, 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.

1 324,402,235
-1 -324,402,235

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 324,402,235.

Example:
1 x 324,402,235 = 324,402,235
and
-1 x -324,402,235 = 324,402,235
Notice both answers equal 324,402,235

With that explanation out of the way, let's continue. Next, we take the number 324,402,235 and divide it by 2:

324,402,235 ÷ 2 = 162,201,117.5

If the quotient is a whole number, then 2 and 162,201,117.5 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:

1 324,402,235
-1 -324,402,235

Now, we try dividing 324,402,235 by 3:

324,402,235 ÷ 3 = 108,134,078.3333

If the quotient is a whole number, then 3 and 108,134,078.3333 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:

1 324,402,235
-1 -324,402,235

Let's try dividing by 4:

324,402,235 ÷ 4 = 81,100,558.75

If the quotient is a whole number, then 4 and 81,100,558.75 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:

1 324,402,235
-1 324,402,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15231152,820,88914,104,44564,880,447324,402,235
-1-5-23-115-2,820,889-14,104,445-64,880,447-324,402,235

More Examples

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