Q: What are the factor combinations of the number 323,155,253?

 A:
Positive:   1 x 32315525331 x 10424363113 x 28597813503 x 92251
Negative: -1 x -323155253-31 x -10424363-113 x -2859781-3503 x -92251


How do I find the factor combinations of the number 323,155,253?

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 323,155,253, 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.

1 323,155,253
-1 -323,155,253

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 323,155,253.

Example:
1 x 323,155,253 = 323,155,253
and
-1 x -323,155,253 = 323,155,253
Notice both answers equal 323,155,253

With that explanation out of the way, let's continue. Next, we take the number 323,155,253 and divide it by 2:

323,155,253 ÷ 2 = 161,577,626.5

If the quotient is a whole number, then 2 and 161,577,626.5 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:

1 323,155,253
-1 -323,155,253

Now, we try dividing 323,155,253 by 3:

323,155,253 ÷ 3 = 107,718,417.6667

If the quotient is a whole number, then 3 and 107,718,417.6667 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:

1 323,155,253
-1 -323,155,253

Let's try dividing by 4:

323,155,253 ÷ 4 = 80,788,813.25

If the quotient is a whole number, then 4 and 80,788,813.25 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:

1 323,155,253
-1 323,155,253
Keep dividing by the next highest number until you cannot divide anymore.

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

1311133,50392,2512,859,78110,424,363323,155,253
-1-31-113-3,503-92,251-2,859,781-10,424,363-323,155,253

More Examples

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