Q: What are the factor combinations of the number 20,021,359?

 A:
Positive:   1 x 2002135917 x 117772743 x 46561361 x 328219449 x 44591731 x 273891037 x 193072623 x 7633
Negative: -1 x -20021359-17 x -1177727-43 x -465613-61 x -328219-449 x -44591-731 x -27389-1037 x -19307-2623 x -7633


How do I find the factor combinations of the number 20,021,359?

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 20,021,359, 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 20,021,359
-1 -20,021,359

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 20,021,359.

Example:
1 x 20,021,359 = 20,021,359
and
-1 x -20,021,359 = 20,021,359
Notice both answers equal 20,021,359

With that explanation out of the way, let's continue. Next, we take the number 20,021,359 and divide it by 2:

20,021,359 ÷ 2 = 10,010,679.5

If the quotient is a whole number, then 2 and 10,010,679.5 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 20,021,359
-1 -20,021,359

Now, we try dividing 20,021,359 by 3:

20,021,359 ÷ 3 = 6,673,786.3333

If the quotient is a whole number, then 3 and 6,673,786.3333 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 20,021,359
-1 -20,021,359

Let's try dividing by 4:

20,021,359 ÷ 4 = 5,005,339.75

If the quotient is a whole number, then 4 and 5,005,339.75 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 20,021,359
-1 20,021,359
Keep dividing by the next highest number until you cannot divide anymore.

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

11743614497311,0372,6237,63319,30727,38944,591328,219465,6131,177,72720,021,359
-1-17-43-61-449-731-1,037-2,623-7,633-19,307-27,389-44,591-328,219-465,613-1,177,727-20,021,359

More Examples

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