Q: What are the factor combinations of the number 8,050,021?

 A:
Positive:   1 x 80500217 x 115000379 x 101899553 x 14557
Negative: -1 x -8050021-7 x -1150003-79 x -101899-553 x -14557


How do I find the factor combinations of the number 8,050,021?

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 8,050,021, 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 8,050,021
-1 -8,050,021

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 8,050,021.

Example:
1 x 8,050,021 = 8,050,021
and
-1 x -8,050,021 = 8,050,021
Notice both answers equal 8,050,021

With that explanation out of the way, let's continue. Next, we take the number 8,050,021 and divide it by 2:

8,050,021 ÷ 2 = 4,025,010.5

If the quotient is a whole number, then 2 and 4,025,010.5 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 8,050,021
-1 -8,050,021

Now, we try dividing 8,050,021 by 3:

8,050,021 ÷ 3 = 2,683,340.3333

If the quotient is a whole number, then 3 and 2,683,340.3333 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 8,050,021
-1 -8,050,021

Let's try dividing by 4:

8,050,021 ÷ 4 = 2,012,505.25

If the quotient is a whole number, then 4 and 2,012,505.25 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 8,050,021
-1 8,050,021
Keep dividing by the next highest number until you cannot divide anymore.

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

177955314,557101,8991,150,0038,050,021
-1-7-79-553-14,557-101,899-1,150,003-8,050,021

More Examples

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