Q: What are the factor combinations of the number 325,176,085?

 A:
Positive:   1 x 3251760855 x 6503521713 x 2501354517 x 1912800565 x 500270985 x 3825601221 x 14713851105 x 294277
Negative: -1 x -325176085-5 x -65035217-13 x -25013545-17 x -19128005-65 x -5002709-85 x -3825601-221 x -1471385-1105 x -294277


How do I find the factor combinations of the number 325,176,085?

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 325,176,085, 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.

1 325,176,085
-1 -325,176,085

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 325,176,085.

Example:
1 x 325,176,085 = 325,176,085
and
-1 x -325,176,085 = 325,176,085
Notice both answers equal 325,176,085

With that explanation out of the way, let's continue. Next, we take the number 325,176,085 and divide it by 2:

325,176,085 ÷ 2 = 162,588,042.5

If the quotient is a whole number, then 2 and 162,588,042.5 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:

1 325,176,085
-1 -325,176,085

Now, we try dividing 325,176,085 by 3:

325,176,085 ÷ 3 = 108,392,028.3333

If the quotient is a whole number, then 3 and 108,392,028.3333 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:

1 325,176,085
-1 -325,176,085

Let's try dividing by 4:

325,176,085 ÷ 4 = 81,294,021.25

If the quotient is a whole number, then 4 and 81,294,021.25 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:

1 325,176,085
-1 325,176,085
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852211,105294,2771,471,3853,825,6015,002,70919,128,00525,013,54565,035,217325,176,085
-1-5-13-17-65-85-221-1,105-294,277-1,471,385-3,825,601-5,002,709-19,128,005-25,013,545-65,035,217-325,176,085

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