Q: What are the factor combinations of the number 20,987,087?

 A:
Positive:   1 x 2098708711 x 1907917107 x 196141121 x 1734471177 x 178311621 x 12947
Negative: -1 x -20987087-11 x -1907917-107 x -196141-121 x -173447-1177 x -17831-1621 x -12947


How do I find the factor combinations of the number 20,987,087?

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 20,987,087, 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 20,987,087
-1 -20,987,087

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 20,987,087.

Example:
1 x 20,987,087 = 20,987,087
and
-1 x -20,987,087 = 20,987,087
Notice both answers equal 20,987,087

With that explanation out of the way, let's continue. Next, we take the number 20,987,087 and divide it by 2:

20,987,087 ÷ 2 = 10,493,543.5

If the quotient is a whole number, then 2 and 10,493,543.5 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 20,987,087
-1 -20,987,087

Now, we try dividing 20,987,087 by 3:

20,987,087 ÷ 3 = 6,995,695.6667

If the quotient is a whole number, then 3 and 6,995,695.6667 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 20,987,087
-1 -20,987,087

Let's try dividing by 4:

20,987,087 ÷ 4 = 5,246,771.75

If the quotient is a whole number, then 4 and 5,246,771.75 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 20,987,087
-1 20,987,087
Keep dividing by the next highest number until you cannot divide anymore.

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

1111071211,1771,62112,94717,831173,447196,1411,907,91720,987,087
-1-11-107-121-1,177-1,621-12,947-17,831-173,447-196,141-1,907,917-20,987,087

More Examples

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