Q: What are the factor combinations of the number 323,001,203?

 A:
Positive:   1 x 3230012037 x 4614302989 x 3629227499 x 647297623 x 5184611039 x 3108773493 x 924717273 x 44411
Negative: -1 x -323001203-7 x -46143029-89 x -3629227-499 x -647297-623 x -518461-1039 x -310877-3493 x -92471-7273 x -44411


How do I find the factor combinations of the number 323,001,203?

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 323,001,203, 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.

1 323,001,203
-1 -323,001,203

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 323,001,203.

Example:
1 x 323,001,203 = 323,001,203
and
-1 x -323,001,203 = 323,001,203
Notice both answers equal 323,001,203

With that explanation out of the way, let's continue. Next, we take the number 323,001,203 and divide it by 2:

323,001,203 ÷ 2 = 161,500,601.5

If the quotient is a whole number, then 2 and 161,500,601.5 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:

1 323,001,203
-1 -323,001,203

Now, we try dividing 323,001,203 by 3:

323,001,203 ÷ 3 = 107,667,067.6667

If the quotient is a whole number, then 3 and 107,667,067.6667 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:

1 323,001,203
-1 -323,001,203

Let's try dividing by 4:

323,001,203 ÷ 4 = 80,750,300.75

If the quotient is a whole number, then 4 and 80,750,300.75 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:

1 323,001,203
-1 323,001,203
Keep dividing by the next highest number until you cannot divide anymore.

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

17894996231,0393,4937,27344,41192,471310,877518,461647,2973,629,22746,143,029323,001,203
-1-7-89-499-623-1,039-3,493-7,273-44,411-92,471-310,877-518,461-647,297-3,629,227-46,143,029-323,001,203

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 323,001,203:


Ask a Question