Q: What are the factor combinations of the number 325,540,105?

 A:
Positive:   1 x 3255401055 x 6510802111 x 2959455555 x 5918911271 x 12012551355 x 2402512981 x 10920514905 x 21841
Negative: -1 x -325540105-5 x -65108021-11 x -29594555-55 x -5918911-271 x -1201255-1355 x -240251-2981 x -109205-14905 x -21841


How do I find the factor combinations of the number 325,540,105?

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 325,540,105, 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.

1 325,540,105
-1 -325,540,105

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 325,540,105.

Example:
1 x 325,540,105 = 325,540,105
and
-1 x -325,540,105 = 325,540,105
Notice both answers equal 325,540,105

With that explanation out of the way, let's continue. Next, we take the number 325,540,105 and divide it by 2:

325,540,105 ÷ 2 = 162,770,052.5

If the quotient is a whole number, then 2 and 162,770,052.5 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:

1 325,540,105
-1 -325,540,105

Now, we try dividing 325,540,105 by 3:

325,540,105 ÷ 3 = 108,513,368.3333

If the quotient is a whole number, then 3 and 108,513,368.3333 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:

1 325,540,105
-1 -325,540,105

Let's try dividing by 4:

325,540,105 ÷ 4 = 81,385,026.25

If the quotient is a whole number, then 4 and 81,385,026.25 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:

1 325,540,105
-1 325,540,105
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552711,3552,98114,90521,841109,205240,2511,201,2555,918,91129,594,55565,108,021325,540,105
-1-5-11-55-271-1,355-2,981-14,905-21,841-109,205-240,251-1,201,255-5,918,911-29,594,555-65,108,021-325,540,105

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