Q: What are the factor combinations of the number 432,133,013?

 A:
Positive:   1 x 43213301313 x 3324100117 x 25419589221 x 1955353809 x 5341572417 x 17878910517 x 4108913753 x 31421
Negative: -1 x -432133013-13 x -33241001-17 x -25419589-221 x -1955353-809 x -534157-2417 x -178789-10517 x -41089-13753 x -31421


How do I find the factor combinations of the number 432,133,013?

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 432,133,013, 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.

1 432,133,013
-1 -432,133,013

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 432,133,013.

Example:
1 x 432,133,013 = 432,133,013
and
-1 x -432,133,013 = 432,133,013
Notice both answers equal 432,133,013

With that explanation out of the way, let's continue. Next, we take the number 432,133,013 and divide it by 2:

432,133,013 ÷ 2 = 216,066,506.5

If the quotient is a whole number, then 2 and 216,066,506.5 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:

1 432,133,013
-1 -432,133,013

Now, we try dividing 432,133,013 by 3:

432,133,013 ÷ 3 = 144,044,337.6667

If the quotient is a whole number, then 3 and 144,044,337.6667 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:

1 432,133,013
-1 -432,133,013

Let's try dividing by 4:

432,133,013 ÷ 4 = 108,033,253.25

If the quotient is a whole number, then 4 and 108,033,253.25 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:

1 432,133,013
-1 432,133,013
Keep dividing by the next highest number until you cannot divide anymore.

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

113172218092,41710,51713,75331,42141,089178,789534,1571,955,35325,419,58933,241,001432,133,013
-1-13-17-221-809-2,417-10,517-13,753-31,421-41,089-178,789-534,157-1,955,353-25,419,589-33,241,001-432,133,013

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