Q: What are the factor combinations of the number 20,021,587?

 A:
Positive:   1 x 200215871009 x 19843
Negative: -1 x -20021587-1009 x -19843


How do I find the factor combinations of the number 20,021,587?

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 20,021,587, 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 20,021,587
-1 -20,021,587

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 20,021,587.

Example:
1 x 20,021,587 = 20,021,587
and
-1 x -20,021,587 = 20,021,587
Notice both answers equal 20,021,587

With that explanation out of the way, let's continue. Next, we take the number 20,021,587 and divide it by 2:

20,021,587 ÷ 2 = 10,010,793.5

If the quotient is a whole number, then 2 and 10,010,793.5 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 20,021,587
-1 -20,021,587

Now, we try dividing 20,021,587 by 3:

20,021,587 ÷ 3 = 6,673,862.3333

If the quotient is a whole number, then 3 and 6,673,862.3333 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 20,021,587
-1 -20,021,587

Let's try dividing by 4:

20,021,587 ÷ 4 = 5,005,396.75

If the quotient is a whole number, then 4 and 5,005,396.75 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 20,021,587
-1 20,021,587
Keep dividing by the next highest number until you cannot divide anymore.

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

11,00919,84320,021,587
-1-1,009-19,843-20,021,587

More Examples

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