Q: What are the factor combinations of the number 232,027,703?

 A:
Positive:   1 x 23202770323 x 1008816137 x 6271019851 x 2726531369 x 1694877369 x 31487
Negative: -1 x -232027703-23 x -10088161-37 x -6271019-851 x -272653-1369 x -169487-7369 x -31487


How do I find the factor combinations of the number 232,027,703?

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 232,027,703, 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.

1 232,027,703
-1 -232,027,703

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 232,027,703.

Example:
1 x 232,027,703 = 232,027,703
and
-1 x -232,027,703 = 232,027,703
Notice both answers equal 232,027,703

With that explanation out of the way, let's continue. Next, we take the number 232,027,703 and divide it by 2:

232,027,703 ÷ 2 = 116,013,851.5

If the quotient is a whole number, then 2 and 116,013,851.5 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:

1 232,027,703
-1 -232,027,703

Now, we try dividing 232,027,703 by 3:

232,027,703 ÷ 3 = 77,342,567.6667

If the quotient is a whole number, then 3 and 77,342,567.6667 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:

1 232,027,703
-1 -232,027,703

Let's try dividing by 4:

232,027,703 ÷ 4 = 58,006,925.75

If the quotient is a whole number, then 4 and 58,006,925.75 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:

1 232,027,703
-1 232,027,703
Keep dividing by the next highest number until you cannot divide anymore.

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

123378511,3697,36931,487169,487272,6536,271,01910,088,161232,027,703
-1-23-37-851-1,369-7,369-31,487-169,487-272,653-6,271,019-10,088,161-232,027,703

More Examples

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