Q: What are the factor combinations of the number 423,423,203?

 A:
Positive:   1 x 4234232037 x 6048902931 x 13658813217 x 1951259349 x 12132472443 x 1733215591 x 7573310819 x 39137
Negative: -1 x -423423203-7 x -60489029-31 x -13658813-217 x -1951259-349 x -1213247-2443 x -173321-5591 x -75733-10819 x -39137


How do I find the factor combinations of the number 423,423,203?

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 423,423,203, 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.

1 423,423,203
-1 -423,423,203

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 423,423,203.

Example:
1 x 423,423,203 = 423,423,203
and
-1 x -423,423,203 = 423,423,203
Notice both answers equal 423,423,203

With that explanation out of the way, let's continue. Next, we take the number 423,423,203 and divide it by 2:

423,423,203 ÷ 2 = 211,711,601.5

If the quotient is a whole number, then 2 and 211,711,601.5 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:

1 423,423,203
-1 -423,423,203

Now, we try dividing 423,423,203 by 3:

423,423,203 ÷ 3 = 141,141,067.6667

If the quotient is a whole number, then 3 and 141,141,067.6667 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:

1 423,423,203
-1 -423,423,203

Let's try dividing by 4:

423,423,203 ÷ 4 = 105,855,800.75

If the quotient is a whole number, then 4 and 105,855,800.75 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:

1 423,423,203
-1 423,423,203
Keep dividing by the next highest number until you cannot divide anymore.

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

17312173492,4435,59110,81939,13775,733173,3211,213,2471,951,25913,658,81360,489,029423,423,203
-1-7-31-217-349-2,443-5,591-10,819-39,137-75,733-173,321-1,213,247-1,951,259-13,658,813-60,489,029-423,423,203

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