Q: What are the factor combinations of the number 20,321,119?

 A:
Positive:   1 x 203211197 x 290301713 x 156316391 x 223309107 x 189917749 x 271311391 x 146092087 x 9737
Negative: -1 x -20321119-7 x -2903017-13 x -1563163-91 x -223309-107 x -189917-749 x -27131-1391 x -14609-2087 x -9737


How do I find the factor combinations of the number 20,321,119?

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 20,321,119, 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 20,321,119
-1 -20,321,119

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 20,321,119.

Example:
1 x 20,321,119 = 20,321,119
and
-1 x -20,321,119 = 20,321,119
Notice both answers equal 20,321,119

With that explanation out of the way, let's continue. Next, we take the number 20,321,119 and divide it by 2:

20,321,119 ÷ 2 = 10,160,559.5

If the quotient is a whole number, then 2 and 10,160,559.5 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 20,321,119
-1 -20,321,119

Now, we try dividing 20,321,119 by 3:

20,321,119 ÷ 3 = 6,773,706.3333

If the quotient is a whole number, then 3 and 6,773,706.3333 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 20,321,119
-1 -20,321,119

Let's try dividing by 4:

20,321,119 ÷ 4 = 5,080,279.75

If the quotient is a whole number, then 4 and 5,080,279.75 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 20,321,119
-1 20,321,119
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911077491,3912,0879,73714,60927,131189,917223,3091,563,1632,903,01720,321,119
-1-7-13-91-107-749-1,391-2,087-9,737-14,609-27,131-189,917-223,309-1,563,163-2,903,017-20,321,119

More Examples

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