Q: What are the factor combinations of the number 323,602,357?

 A:
Positive:   1 x 32360235713 x 2489248919 x 1703170373 x 4432909131 x 2470247137 x 2362061247 x 1310131949 x 3409931387 x 2333111703 x 1900191781 x 1816972489 x 1300132603 x 1243199563 x 3383910001 x 3235717947 x 18031
Negative: -1 x -323602357-13 x -24892489-19 x -17031703-73 x -4432909-131 x -2470247-137 x -2362061-247 x -1310131-949 x -340993-1387 x -233311-1703 x -190019-1781 x -181697-2489 x -130013-2603 x -124319-9563 x -33839-10001 x -32357-17947 x -18031


How do I find the factor combinations of the number 323,602,357?

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 323,602,357, 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.

1 323,602,357
-1 -323,602,357

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 323,602,357.

Example:
1 x 323,602,357 = 323,602,357
and
-1 x -323,602,357 = 323,602,357
Notice both answers equal 323,602,357

With that explanation out of the way, let's continue. Next, we take the number 323,602,357 and divide it by 2:

323,602,357 ÷ 2 = 161,801,178.5

If the quotient is a whole number, then 2 and 161,801,178.5 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:

1 323,602,357
-1 -323,602,357

Now, we try dividing 323,602,357 by 3:

323,602,357 ÷ 3 = 107,867,452.3333

If the quotient is a whole number, then 3 and 107,867,452.3333 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:

1 323,602,357
-1 -323,602,357

Let's try dividing by 4:

323,602,357 ÷ 4 = 80,900,589.25

If the quotient is a whole number, then 4 and 80,900,589.25 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:

1 323,602,357
-1 323,602,357
Keep dividing by the next highest number until you cannot divide anymore.

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

11319731311372479491,3871,7031,7812,4892,6039,56310,00117,94718,03132,35733,839124,319130,013181,697190,019233,311340,9931,310,1312,362,0612,470,2474,432,90917,031,70324,892,489323,602,357
-1-13-19-73-131-137-247-949-1,387-1,703-1,781-2,489-2,603-9,563-10,001-17,947-18,031-32,357-33,839-124,319-130,013-181,697-190,019-233,311-340,993-1,310,131-2,362,061-2,470,247-4,432,909-17,031,703-24,892,489-323,602,357

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