Q: What are the factor combinations of the number 422,323,339?

 A:
Positive:   1 x 42232333943 x 982147383 x 5088233241 x 1752379491 x 8601293569 x 11833110363 x 4075320003 x 21113
Negative: -1 x -422323339-43 x -9821473-83 x -5088233-241 x -1752379-491 x -860129-3569 x -118331-10363 x -40753-20003 x -21113


How do I find the factor combinations of the number 422,323,339?

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 422,323,339, 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.

1 422,323,339
-1 -422,323,339

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 422,323,339.

Example:
1 x 422,323,339 = 422,323,339
and
-1 x -422,323,339 = 422,323,339
Notice both answers equal 422,323,339

With that explanation out of the way, let's continue. Next, we take the number 422,323,339 and divide it by 2:

422,323,339 ÷ 2 = 211,161,669.5

If the quotient is a whole number, then 2 and 211,161,669.5 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:

1 422,323,339
-1 -422,323,339

Now, we try dividing 422,323,339 by 3:

422,323,339 ÷ 3 = 140,774,446.3333

If the quotient is a whole number, then 3 and 140,774,446.3333 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:

1 422,323,339
-1 -422,323,339

Let's try dividing by 4:

422,323,339 ÷ 4 = 105,580,834.75

If the quotient is a whole number, then 4 and 105,580,834.75 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:

1 422,323,339
-1 422,323,339
Keep dividing by the next highest number until you cannot divide anymore.

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

143832414913,56910,36320,00321,11340,753118,331860,1291,752,3795,088,2339,821,473422,323,339
-1-43-83-241-491-3,569-10,363-20,003-21,113-40,753-118,331-860,129-1,752,379-5,088,233-9,821,473-422,323,339

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