Q: What are the factor combinations of the number 323,032,129?

 A:
Positive:   1 x 3230321297 x 4614744719 x 17001691133 x 2428813197 x 16397571379 x 2342513743 x 8630312329 x 26201
Negative: -1 x -323032129-7 x -46147447-19 x -17001691-133 x -2428813-197 x -1639757-1379 x -234251-3743 x -86303-12329 x -26201


How do I find the factor combinations of the number 323,032,129?

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 323,032,129, 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.

1 323,032,129
-1 -323,032,129

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 323,032,129.

Example:
1 x 323,032,129 = 323,032,129
and
-1 x -323,032,129 = 323,032,129
Notice both answers equal 323,032,129

With that explanation out of the way, let's continue. Next, we take the number 323,032,129 and divide it by 2:

323,032,129 ÷ 2 = 161,516,064.5

If the quotient is a whole number, then 2 and 161,516,064.5 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:

1 323,032,129
-1 -323,032,129

Now, we try dividing 323,032,129 by 3:

323,032,129 ÷ 3 = 107,677,376.3333

If the quotient is a whole number, then 3 and 107,677,376.3333 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:

1 323,032,129
-1 -323,032,129

Let's try dividing by 4:

323,032,129 ÷ 4 = 80,758,032.25

If the quotient is a whole number, then 4 and 80,758,032.25 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:

1 323,032,129
-1 323,032,129
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331971,3793,74312,32926,20186,303234,2511,639,7572,428,81317,001,69146,147,447323,032,129
-1-7-19-133-197-1,379-3,743-12,329-26,201-86,303-234,251-1,639,757-2,428,813-17,001,691-46,147,447-323,032,129

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 323,032,129:


Ask a Question