Q: What are the factor combinations of the number 130,424,203?

 A:
Positive:   1 x 1304242037 x 1863202913 x 1003263143 x 303312191 x 1433233301 x 433303559 x 2333173913 x 33331
Negative: -1 x -130424203-7 x -18632029-13 x -10032631-43 x -3033121-91 x -1433233-301 x -433303-559 x -233317-3913 x -33331


How do I find the factor combinations of the number 130,424,203?

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 130,424,203, 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.

1 130,424,203
-1 -130,424,203

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 130,424,203.

Example:
1 x 130,424,203 = 130,424,203
and
-1 x -130,424,203 = 130,424,203
Notice both answers equal 130,424,203

With that explanation out of the way, let's continue. Next, we take the number 130,424,203 and divide it by 2:

130,424,203 ÷ 2 = 65,212,101.5

If the quotient is a whole number, then 2 and 65,212,101.5 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:

1 130,424,203
-1 -130,424,203

Now, we try dividing 130,424,203 by 3:

130,424,203 ÷ 3 = 43,474,734.3333

If the quotient is a whole number, then 3 and 43,474,734.3333 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:

1 130,424,203
-1 -130,424,203

Let's try dividing by 4:

130,424,203 ÷ 4 = 32,606,050.75

If the quotient is a whole number, then 4 and 32,606,050.75 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:

1 130,424,203
-1 130,424,203
Keep dividing by the next highest number until you cannot divide anymore.

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

171343913015593,91333,331233,317433,3031,433,2333,033,12110,032,63118,632,029130,424,203
-1-7-13-43-91-301-559-3,913-33,331-233,317-433,303-1,433,233-3,033,121-10,032,631-18,632,029-130,424,203

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