Q: What are the factor combinations of the number 20,717,135?

 A:
Positive:   1 x 207171355 x 414342717 x 121865523 x 90074585 x 243731115 x 180149391 x 529851955 x 10597
Negative: -1 x -20717135-5 x -4143427-17 x -1218655-23 x -900745-85 x -243731-115 x -180149-391 x -52985-1955 x -10597


How do I find the factor combinations of the number 20,717,135?

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 20,717,135, 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 20,717,135
-1 -20,717,135

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 20,717,135.

Example:
1 x 20,717,135 = 20,717,135
and
-1 x -20,717,135 = 20,717,135
Notice both answers equal 20,717,135

With that explanation out of the way, let's continue. Next, we take the number 20,717,135 and divide it by 2:

20,717,135 ÷ 2 = 10,358,567.5

If the quotient is a whole number, then 2 and 10,358,567.5 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 20,717,135
-1 -20,717,135

Now, we try dividing 20,717,135 by 3:

20,717,135 ÷ 3 = 6,905,711.6667

If the quotient is a whole number, then 3 and 6,905,711.6667 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 20,717,135
-1 -20,717,135

Let's try dividing by 4:

20,717,135 ÷ 4 = 5,179,283.75

If the quotient is a whole number, then 4 and 5,179,283.75 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 20,717,135
-1 20,717,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151723851153911,95510,59752,985180,149243,731900,7451,218,6554,143,42720,717,135
-1-5-17-23-85-115-391-1,955-10,597-52,985-180,149-243,731-900,745-1,218,655-4,143,427-20,717,135

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