Q: What are the factor combinations of the number 20,067,005?

 A:
Positive:   1 x 200670055 x 40134017 x 286671535 x 573343
Negative: -1 x -20067005-5 x -4013401-7 x -2866715-35 x -573343


How do I find the factor combinations of the number 20,067,005?

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 20,067,005, 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 20,067,005
-1 -20,067,005

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 20,067,005.

Example:
1 x 20,067,005 = 20,067,005
and
-1 x -20,067,005 = 20,067,005
Notice both answers equal 20,067,005

With that explanation out of the way, let's continue. Next, we take the number 20,067,005 and divide it by 2:

20,067,005 ÷ 2 = 10,033,502.5

If the quotient is a whole number, then 2 and 10,033,502.5 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 20,067,005
-1 -20,067,005

Now, we try dividing 20,067,005 by 3:

20,067,005 ÷ 3 = 6,689,001.6667

If the quotient is a whole number, then 3 and 6,689,001.6667 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 20,067,005
-1 -20,067,005

Let's try dividing by 4:

20,067,005 ÷ 4 = 5,016,751.25

If the quotient is a whole number, then 4 and 5,016,751.25 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 20,067,005
-1 20,067,005
Keep dividing by the next highest number until you cannot divide anymore.

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

15735573,3432,866,7154,013,40120,067,005
-1-5-7-35-573,343-2,866,715-4,013,401-20,067,005

More Examples

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