Q: What are the factor combinations of the number 20,206,039?

 A:
Positive:   1 x 202060397 x 2886577149 x 1356111043 x 19373
Negative: -1 x -20206039-7 x -2886577-149 x -135611-1043 x -19373


How do I find the factor combinations of the number 20,206,039?

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 20,206,039, 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 20,206,039
-1 -20,206,039

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 20,206,039.

Example:
1 x 20,206,039 = 20,206,039
and
-1 x -20,206,039 = 20,206,039
Notice both answers equal 20,206,039

With that explanation out of the way, let's continue. Next, we take the number 20,206,039 and divide it by 2:

20,206,039 ÷ 2 = 10,103,019.5

If the quotient is a whole number, then 2 and 10,103,019.5 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 20,206,039
-1 -20,206,039

Now, we try dividing 20,206,039 by 3:

20,206,039 ÷ 3 = 6,735,346.3333

If the quotient is a whole number, then 3 and 6,735,346.3333 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 20,206,039
-1 -20,206,039

Let's try dividing by 4:

20,206,039 ÷ 4 = 5,051,509.75

If the quotient is a whole number, then 4 and 5,051,509.75 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 20,206,039
-1 20,206,039
Keep dividing by the next highest number until you cannot divide anymore.

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

171491,04319,373135,6112,886,57720,206,039
-1-7-149-1,043-19,373-135,611-2,886,577-20,206,039

More Examples

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