Q: What are the factor combinations of the number 320,231,431?

 A:
Positive:   1 x 32023143113 x 2463318717 x 18837143221 x 1449011601 x 5328312411 x 1328217813 x 4098710217 x 31343
Negative: -1 x -320231431-13 x -24633187-17 x -18837143-221 x -1449011-601 x -532831-2411 x -132821-7813 x -40987-10217 x -31343


How do I find the factor combinations of the number 320,231,431?

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 320,231,431, 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.

1 320,231,431
-1 -320,231,431

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 320,231,431.

Example:
1 x 320,231,431 = 320,231,431
and
-1 x -320,231,431 = 320,231,431
Notice both answers equal 320,231,431

With that explanation out of the way, let's continue. Next, we take the number 320,231,431 and divide it by 2:

320,231,431 ÷ 2 = 160,115,715.5

If the quotient is a whole number, then 2 and 160,115,715.5 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:

1 320,231,431
-1 -320,231,431

Now, we try dividing 320,231,431 by 3:

320,231,431 ÷ 3 = 106,743,810.3333

If the quotient is a whole number, then 3 and 106,743,810.3333 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:

1 320,231,431
-1 -320,231,431

Let's try dividing by 4:

320,231,431 ÷ 4 = 80,057,857.75

If the quotient is a whole number, then 4 and 80,057,857.75 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:

1 320,231,431
-1 320,231,431
Keep dividing by the next highest number until you cannot divide anymore.

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

113172216012,4117,81310,21731,34340,987132,821532,8311,449,01118,837,14324,633,187320,231,431
-1-13-17-221-601-2,411-7,813-10,217-31,343-40,987-132,821-532,831-1,449,011-18,837,143-24,633,187-320,231,431

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