Q: What are the factor combinations of the number 20,180,503?

 A:
Positive:   1 x 201805037 x 288292937 x 54541949 x 411847259 x 779171813 x 11131
Negative: -1 x -20180503-7 x -2882929-37 x -545419-49 x -411847-259 x -77917-1813 x -11131


How do I find the factor combinations of the number 20,180,503?

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 20,180,503, 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 20,180,503
-1 -20,180,503

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 20,180,503.

Example:
1 x 20,180,503 = 20,180,503
and
-1 x -20,180,503 = 20,180,503
Notice both answers equal 20,180,503

With that explanation out of the way, let's continue. Next, we take the number 20,180,503 and divide it by 2:

20,180,503 ÷ 2 = 10,090,251.5

If the quotient is a whole number, then 2 and 10,090,251.5 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 20,180,503
-1 -20,180,503

Now, we try dividing 20,180,503 by 3:

20,180,503 ÷ 3 = 6,726,834.3333

If the quotient is a whole number, then 3 and 6,726,834.3333 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 20,180,503
-1 -20,180,503

Let's try dividing by 4:

20,180,503 ÷ 4 = 5,045,125.75

If the quotient is a whole number, then 4 and 5,045,125.75 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 20,180,503
-1 20,180,503
Keep dividing by the next highest number until you cannot divide anymore.

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

1737492591,81311,13177,917411,847545,4192,882,92920,180,503
-1-7-37-49-259-1,813-11,131-77,917-411,847-545,419-2,882,929-20,180,503

More Examples

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