Q: What are the factor combinations of the number 2,020,021?

 A:
Positive:   1 x 202002123 x 8782771 x 284511237 x 1633
Negative: -1 x -2020021-23 x -87827-71 x -28451-1237 x -1633


How do I find the factor combinations of the number 2,020,021?

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 2,020,021, 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 2,020,021
-1 -2,020,021

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 2,020,021.

Example:
1 x 2,020,021 = 2,020,021
and
-1 x -2,020,021 = 2,020,021
Notice both answers equal 2,020,021

With that explanation out of the way, let's continue. Next, we take the number 2,020,021 and divide it by 2:

2,020,021 ÷ 2 = 1,010,010.5

If the quotient is a whole number, then 2 and 1,010,010.5 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 2,020,021
-1 -2,020,021

Now, we try dividing 2,020,021 by 3:

2,020,021 ÷ 3 = 673,340.3333

If the quotient is a whole number, then 3 and 673,340.3333 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 2,020,021
-1 -2,020,021

Let's try dividing by 4:

2,020,021 ÷ 4 = 505,005.25

If the quotient is a whole number, then 4 and 505,005.25 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 2,020,021
-1 2,020,021
Keep dividing by the next highest number until you cannot divide anymore.

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

123711,2371,63328,45187,8272,020,021
-1-23-71-1,237-1,633-28,451-87,827-2,020,021

More Examples

Here are some more numbers to try:

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