Q: What are the factor combinations of the number 130,424,441?

 A:
Positive:   1 x 1304244417 x 18632063197 x 662053271 x 481271349 x 3737091379 x 945791897 x 687532443 x 53387
Negative: -1 x -130424441-7 x -18632063-197 x -662053-271 x -481271-349 x -373709-1379 x -94579-1897 x -68753-2443 x -53387


How do I find the factor combinations of the number 130,424,441?

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 130,424,441, 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.

1 130,424,441
-1 -130,424,441

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 130,424,441.

Example:
1 x 130,424,441 = 130,424,441
and
-1 x -130,424,441 = 130,424,441
Notice both answers equal 130,424,441

With that explanation out of the way, let's continue. Next, we take the number 130,424,441 and divide it by 2:

130,424,441 ÷ 2 = 65,212,220.5

If the quotient is a whole number, then 2 and 65,212,220.5 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:

1 130,424,441
-1 -130,424,441

Now, we try dividing 130,424,441 by 3:

130,424,441 ÷ 3 = 43,474,813.6667

If the quotient is a whole number, then 3 and 43,474,813.6667 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:

1 130,424,441
-1 -130,424,441

Let's try dividing by 4:

130,424,441 ÷ 4 = 32,606,110.25

If the quotient is a whole number, then 4 and 32,606,110.25 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:

1 130,424,441
-1 130,424,441
Keep dividing by the next highest number until you cannot divide anymore.

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

171972713491,3791,8972,44353,38768,75394,579373,709481,271662,05318,632,063130,424,441
-1-7-197-271-349-1,379-1,897-2,443-53,387-68,753-94,579-373,709-481,271-662,053-18,632,063-130,424,441

More Examples

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