Q: What are the factor combinations of the number 321,244,343?

 A:
Positive:   1 x 3212443437 x 4589204919 x 1690759749 x 655600789 x 3609487133 x 2415371623 x 515641931 x 3450531691 x 1899733877 x 828594361 x 7366311837 x 27139
Negative: -1 x -321244343-7 x -45892049-19 x -16907597-49 x -6556007-89 x -3609487-133 x -2415371-623 x -515641-931 x -345053-1691 x -189973-3877 x -82859-4361 x -73663-11837 x -27139


How do I find the factor combinations of the number 321,244,343?

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 321,244,343, 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.

1 321,244,343
-1 -321,244,343

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 321,244,343.

Example:
1 x 321,244,343 = 321,244,343
and
-1 x -321,244,343 = 321,244,343
Notice both answers equal 321,244,343

With that explanation out of the way, let's continue. Next, we take the number 321,244,343 and divide it by 2:

321,244,343 ÷ 2 = 160,622,171.5

If the quotient is a whole number, then 2 and 160,622,171.5 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:

1 321,244,343
-1 -321,244,343

Now, we try dividing 321,244,343 by 3:

321,244,343 ÷ 3 = 107,081,447.6667

If the quotient is a whole number, then 3 and 107,081,447.6667 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:

1 321,244,343
-1 -321,244,343

Let's try dividing by 4:

321,244,343 ÷ 4 = 80,311,085.75

If the quotient is a whole number, then 4 and 80,311,085.75 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:

1 321,244,343
-1 321,244,343
Keep dividing by the next highest number until you cannot divide anymore.

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

171949891336239311,6913,8774,36111,83727,13973,66382,859189,973345,053515,6412,415,3713,609,4876,556,00716,907,59745,892,049321,244,343
-1-7-19-49-89-133-623-931-1,691-3,877-4,361-11,837-27,139-73,663-82,859-189,973-345,053-515,641-2,415,371-3,609,487-6,556,007-16,907,597-45,892,049-321,244,343

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