Q: What are the factor combinations of the number 328,125,823?

 A:
Positive:   1 x 32812582317 x 1930151989 x 3686807137 x 23950791513 x 2168711583 x 2072812329 x 14088712193 x 26911
Negative: -1 x -328125823-17 x -19301519-89 x -3686807-137 x -2395079-1513 x -216871-1583 x -207281-2329 x -140887-12193 x -26911


How do I find the factor combinations of the number 328,125,823?

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 328,125,823, 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.

1 328,125,823
-1 -328,125,823

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 328,125,823.

Example:
1 x 328,125,823 = 328,125,823
and
-1 x -328,125,823 = 328,125,823
Notice both answers equal 328,125,823

With that explanation out of the way, let's continue. Next, we take the number 328,125,823 and divide it by 2:

328,125,823 ÷ 2 = 164,062,911.5

If the quotient is a whole number, then 2 and 164,062,911.5 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:

1 328,125,823
-1 -328,125,823

Now, we try dividing 328,125,823 by 3:

328,125,823 ÷ 3 = 109,375,274.3333

If the quotient is a whole number, then 3 and 109,375,274.3333 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:

1 328,125,823
-1 -328,125,823

Let's try dividing by 4:

328,125,823 ÷ 4 = 82,031,455.75

If the quotient is a whole number, then 4 and 82,031,455.75 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:

1 328,125,823
-1 328,125,823
Keep dividing by the next highest number until you cannot divide anymore.

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

117891371,5131,5832,32912,19326,911140,887207,281216,8712,395,0793,686,80719,301,519328,125,823
-1-17-89-137-1,513-1,583-2,329-12,193-26,911-140,887-207,281-216,871-2,395,079-3,686,807-19,301,519-328,125,823

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