Q: What are the factor combinations of the number 432,442,199?

 A:
Positive:   1 x 4324421997 x 6177745737 x 1168762749 x 882535197 x 4458167259 x 1669661679 x 6368811813 x 2385232459 x 1758613589 x 1204914753 x 9098317213 x 25123
Negative: -1 x -432442199-7 x -61777457-37 x -11687627-49 x -8825351-97 x -4458167-259 x -1669661-679 x -636881-1813 x -238523-2459 x -175861-3589 x -120491-4753 x -90983-17213 x -25123


How do I find the factor combinations of the number 432,442,199?

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 432,442,199, 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.

1 432,442,199
-1 -432,442,199

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 432,442,199.

Example:
1 x 432,442,199 = 432,442,199
and
-1 x -432,442,199 = 432,442,199
Notice both answers equal 432,442,199

With that explanation out of the way, let's continue. Next, we take the number 432,442,199 and divide it by 2:

432,442,199 ÷ 2 = 216,221,099.5

If the quotient is a whole number, then 2 and 216,221,099.5 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:

1 432,442,199
-1 -432,442,199

Now, we try dividing 432,442,199 by 3:

432,442,199 ÷ 3 = 144,147,399.6667

If the quotient is a whole number, then 3 and 144,147,399.6667 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:

1 432,442,199
-1 -432,442,199

Let's try dividing by 4:

432,442,199 ÷ 4 = 108,110,549.75

If the quotient is a whole number, then 4 and 108,110,549.75 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:

1 432,442,199
-1 432,442,199
Keep dividing by the next highest number until you cannot divide anymore.

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

173749972596791,8132,4593,5894,75317,21325,12390,983120,491175,861238,523636,8811,669,6614,458,1678,825,35111,687,62761,777,457432,442,199
-1-7-37-49-97-259-679-1,813-2,459-3,589-4,753-17,213-25,123-90,983-120,491-175,861-238,523-636,881-1,669,661-4,458,167-8,825,351-11,687,627-61,777,457-432,442,199

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