Q: What are the factor combinations of the number 20,705,015?

 A:
Positive:   1 x 207050155 x 414100337 x 559595185 x 111919
Negative: -1 x -20705015-5 x -4141003-37 x -559595-185 x -111919


How do I find the factor combinations of the number 20,705,015?

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 20,705,015, 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 20,705,015
-1 -20,705,015

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 20,705,015.

Example:
1 x 20,705,015 = 20,705,015
and
-1 x -20,705,015 = 20,705,015
Notice both answers equal 20,705,015

With that explanation out of the way, let's continue. Next, we take the number 20,705,015 and divide it by 2:

20,705,015 ÷ 2 = 10,352,507.5

If the quotient is a whole number, then 2 and 10,352,507.5 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 20,705,015
-1 -20,705,015

Now, we try dividing 20,705,015 by 3:

20,705,015 ÷ 3 = 6,901,671.6667

If the quotient is a whole number, then 3 and 6,901,671.6667 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 20,705,015
-1 -20,705,015

Let's try dividing by 4:

20,705,015 ÷ 4 = 5,176,253.75

If the quotient is a whole number, then 4 and 5,176,253.75 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 20,705,015
-1 20,705,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1537185111,919559,5954,141,00320,705,015
-1-5-37-185-111,919-559,595-4,141,003-20,705,015

More Examples

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