Q: What are the factor combinations of the number 324,253,055?

 A:
Positive:   1 x 3242530555 x 648506117 x 4632186535 x 926437397 x 3342815149 x 2176195485 x 668563641 x 505855679 x 477545745 x 4352391043 x 3108853205 x 1011713395 x 955094487 x 722655215 x 6217714453 x 22435
Negative: -1 x -324253055-5 x -64850611-7 x -46321865-35 x -9264373-97 x -3342815-149 x -2176195-485 x -668563-641 x -505855-679 x -477545-745 x -435239-1043 x -310885-3205 x -101171-3395 x -95509-4487 x -72265-5215 x -62177-14453 x -22435


How do I find the factor combinations of the number 324,253,055?

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 324,253,055, 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.

1 324,253,055
-1 -324,253,055

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 324,253,055.

Example:
1 x 324,253,055 = 324,253,055
and
-1 x -324,253,055 = 324,253,055
Notice both answers equal 324,253,055

With that explanation out of the way, let's continue. Next, we take the number 324,253,055 and divide it by 2:

324,253,055 ÷ 2 = 162,126,527.5

If the quotient is a whole number, then 2 and 162,126,527.5 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:

1 324,253,055
-1 -324,253,055

Now, we try dividing 324,253,055 by 3:

324,253,055 ÷ 3 = 108,084,351.6667

If the quotient is a whole number, then 3 and 108,084,351.6667 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:

1 324,253,055
-1 -324,253,055

Let's try dividing by 4:

324,253,055 ÷ 4 = 81,063,263.75

If the quotient is a whole number, then 4 and 81,063,263.75 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:

1 324,253,055
-1 324,253,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15735971494856416797451,0433,2053,3954,4875,21514,45322,43562,17772,26595,509101,171310,885435,239477,545505,855668,5632,176,1953,342,8159,264,37346,321,86564,850,611324,253,055
-1-5-7-35-97-149-485-641-679-745-1,043-3,205-3,395-4,487-5,215-14,453-22,435-62,177-72,265-95,509-101,171-310,885-435,239-477,545-505,855-668,563-2,176,195-3,342,815-9,264,373-46,321,865-64,850,611-324,253,055

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