Q: What are the factor combinations of the number 20,556,437?

 A:
Positive:   1 x 2055643711 x 186876747 x 437371517 x 39761
Negative: -1 x -20556437-11 x -1868767-47 x -437371-517 x -39761


How do I find the factor combinations of the number 20,556,437?

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 20,556,437, 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 20,556,437
-1 -20,556,437

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 20,556,437.

Example:
1 x 20,556,437 = 20,556,437
and
-1 x -20,556,437 = 20,556,437
Notice both answers equal 20,556,437

With that explanation out of the way, let's continue. Next, we take the number 20,556,437 and divide it by 2:

20,556,437 ÷ 2 = 10,278,218.5

If the quotient is a whole number, then 2 and 10,278,218.5 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 20,556,437
-1 -20,556,437

Now, we try dividing 20,556,437 by 3:

20,556,437 ÷ 3 = 6,852,145.6667

If the quotient is a whole number, then 3 and 6,852,145.6667 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 20,556,437
-1 -20,556,437

Let's try dividing by 4:

20,556,437 ÷ 4 = 5,139,109.25

If the quotient is a whole number, then 4 and 5,139,109.25 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 20,556,437
-1 20,556,437
Keep dividing by the next highest number until you cannot divide anymore.

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

1114751739,761437,3711,868,76720,556,437
-1-11-47-517-39,761-437,371-1,868,767-20,556,437

More Examples

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