Q: What are the factor combinations of the number 232,004,003?

 A:
Positive:   1 x 2320040037 x 3314342911 x 2109127319 x 1221073777 x 3013039133 x 1744391209 x 11100671463 x 158581
Negative: -1 x -232004003-7 x -33143429-11 x -21091273-19 x -12210737-77 x -3013039-133 x -1744391-209 x -1110067-1463 x -158581


How do I find the factor combinations of the number 232,004,003?

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 232,004,003, 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.

1 232,004,003
-1 -232,004,003

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 232,004,003.

Example:
1 x 232,004,003 = 232,004,003
and
-1 x -232,004,003 = 232,004,003
Notice both answers equal 232,004,003

With that explanation out of the way, let's continue. Next, we take the number 232,004,003 and divide it by 2:

232,004,003 ÷ 2 = 116,002,001.5

If the quotient is a whole number, then 2 and 116,002,001.5 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:

1 232,004,003
-1 -232,004,003

Now, we try dividing 232,004,003 by 3:

232,004,003 ÷ 3 = 77,334,667.6667

If the quotient is a whole number, then 3 and 77,334,667.6667 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:

1 232,004,003
-1 -232,004,003

Let's try dividing by 4:

232,004,003 ÷ 4 = 58,001,000.75

If the quotient is a whole number, then 4 and 58,001,000.75 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:

1 232,004,003
-1 232,004,003
Keep dividing by the next highest number until you cannot divide anymore.

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

171119771332091,463158,5811,110,0671,744,3913,013,03912,210,73721,091,27333,143,429232,004,003
-1-7-11-19-77-133-209-1,463-158,581-1,110,067-1,744,391-3,013,039-12,210,737-21,091,273-33,143,429-232,004,003

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