Q: What are the factor combinations of the number 323,042,003?

 A:
Positive:   1 x 323042003
Negative: -1 x -323042003


How do I find the factor combinations of the number 323,042,003?

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 323,042,003, 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.

1 323,042,003
-1 -323,042,003

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 323,042,003.

Example:
1 x 323,042,003 = 323,042,003
and
-1 x -323,042,003 = 323,042,003
Notice both answers equal 323,042,003

With that explanation out of the way, let's continue. Next, we take the number 323,042,003 and divide it by 2:

323,042,003 ÷ 2 = 161,521,001.5

If the quotient is a whole number, then 2 and 161,521,001.5 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:

1 323,042,003
-1 -323,042,003

Now, we try dividing 323,042,003 by 3:

323,042,003 ÷ 3 = 107,680,667.6667

If the quotient is a whole number, then 3 and 107,680,667.6667 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:

1 323,042,003
-1 -323,042,003

Let's try dividing by 4:

323,042,003 ÷ 4 = 80,760,500.75

If the quotient is a whole number, then 4 and 80,760,500.75 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:

1 323,042,003
-1 323,042,003
Keep dividing by the next highest number until you cannot divide anymore.

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

1323,042,003
-1-323,042,003

More Examples

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