Q: What are the factor combinations of the number 20,323,219?

 A:
Positive:   1 x 203232197 x 290331743 x 472633251 x 80969269 x 75551301 x 675191757 x 115671883 x 10793
Negative: -1 x -20323219-7 x -2903317-43 x -472633-251 x -80969-269 x -75551-301 x -67519-1757 x -11567-1883 x -10793


How do I find the factor combinations of the number 20,323,219?

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 20,323,219, 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 20,323,219
-1 -20,323,219

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 20,323,219.

Example:
1 x 20,323,219 = 20,323,219
and
-1 x -20,323,219 = 20,323,219
Notice both answers equal 20,323,219

With that explanation out of the way, let's continue. Next, we take the number 20,323,219 and divide it by 2:

20,323,219 ÷ 2 = 10,161,609.5

If the quotient is a whole number, then 2 and 10,161,609.5 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 20,323,219
-1 -20,323,219

Now, we try dividing 20,323,219 by 3:

20,323,219 ÷ 3 = 6,774,406.3333

If the quotient is a whole number, then 3 and 6,774,406.3333 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 20,323,219
-1 -20,323,219

Let's try dividing by 4:

20,323,219 ÷ 4 = 5,080,804.75

If the quotient is a whole number, then 4 and 5,080,804.75 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 20,323,219
-1 20,323,219
Keep dividing by the next highest number until you cannot divide anymore.

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

17432512693011,7571,88310,79311,56767,51975,55180,969472,6332,903,31720,323,219
-1-7-43-251-269-301-1,757-1,883-10,793-11,567-67,519-75,551-80,969-472,633-2,903,317-20,323,219

More Examples

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