Q: What are the factor combinations of the number 20,711,119?

 A:
Positive:   1 x 2071111911 x 188282913 x 1593163143 x 144833169 x 122551857 x 241671859 x 111412197 x 9427
Negative: -1 x -20711119-11 x -1882829-13 x -1593163-143 x -144833-169 x -122551-857 x -24167-1859 x -11141-2197 x -9427


How do I find the factor combinations of the number 20,711,119?

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 20,711,119, 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 20,711,119
-1 -20,711,119

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 20,711,119.

Example:
1 x 20,711,119 = 20,711,119
and
-1 x -20,711,119 = 20,711,119
Notice both answers equal 20,711,119

With that explanation out of the way, let's continue. Next, we take the number 20,711,119 and divide it by 2:

20,711,119 ÷ 2 = 10,355,559.5

If the quotient is a whole number, then 2 and 10,355,559.5 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 20,711,119
-1 -20,711,119

Now, we try dividing 20,711,119 by 3:

20,711,119 ÷ 3 = 6,903,706.3333

If the quotient is a whole number, then 3 and 6,903,706.3333 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 20,711,119
-1 -20,711,119

Let's try dividing by 4:

20,711,119 ÷ 4 = 5,177,779.75

If the quotient is a whole number, then 4 and 5,177,779.75 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 20,711,119
-1 20,711,119
Keep dividing by the next highest number until you cannot divide anymore.

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

111131431698571,8592,1979,42711,14124,167122,551144,8331,593,1631,882,82920,711,119
-1-11-13-143-169-857-1,859-2,197-9,427-11,141-24,167-122,551-144,833-1,593,163-1,882,829-20,711,119

More Examples

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