Q: What are the factor combinations of the number 324,126,625?

 A:
Positive:   1 x 3241266255 x 6482532525 x 12965065125 x 2593013541 x 5991252705 x 1198254793 x 6762513525 x 23965
Negative: -1 x -324126625-5 x -64825325-25 x -12965065-125 x -2593013-541 x -599125-2705 x -119825-4793 x -67625-13525 x -23965


How do I find the factor combinations of the number 324,126,625?

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 324,126,625, 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.

1 324,126,625
-1 -324,126,625

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 324,126,625.

Example:
1 x 324,126,625 = 324,126,625
and
-1 x -324,126,625 = 324,126,625
Notice both answers equal 324,126,625

With that explanation out of the way, let's continue. Next, we take the number 324,126,625 and divide it by 2:

324,126,625 ÷ 2 = 162,063,312.5

If the quotient is a whole number, then 2 and 162,063,312.5 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:

1 324,126,625
-1 -324,126,625

Now, we try dividing 324,126,625 by 3:

324,126,625 ÷ 3 = 108,042,208.3333

If the quotient is a whole number, then 3 and 108,042,208.3333 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:

1 324,126,625
-1 -324,126,625

Let's try dividing by 4:

324,126,625 ÷ 4 = 81,031,656.25

If the quotient is a whole number, then 4 and 81,031,656.25 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:

1 324,126,625
-1 324,126,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251255412,7054,79313,52523,96567,625119,825599,1252,593,01312,965,06564,825,325324,126,625
-1-5-25-125-541-2,705-4,793-13,525-23,965-67,625-119,825-599,125-2,593,013-12,965,065-64,825,325-324,126,625

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