Q: What are the factor combinations of the number 20,010,211?

 A:
Positive:   1 x 2001021113 x 153924719 x 1053169247 x 81013
Negative: -1 x -20010211-13 x -1539247-19 x -1053169-247 x -81013


How do I find the factor combinations of the number 20,010,211?

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 20,010,211, 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 20,010,211
-1 -20,010,211

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 20,010,211.

Example:
1 x 20,010,211 = 20,010,211
and
-1 x -20,010,211 = 20,010,211
Notice both answers equal 20,010,211

With that explanation out of the way, let's continue. Next, we take the number 20,010,211 and divide it by 2:

20,010,211 ÷ 2 = 10,005,105.5

If the quotient is a whole number, then 2 and 10,005,105.5 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 20,010,211
-1 -20,010,211

Now, we try dividing 20,010,211 by 3:

20,010,211 ÷ 3 = 6,670,070.3333

If the quotient is a whole number, then 3 and 6,670,070.3333 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 20,010,211
-1 -20,010,211

Let's try dividing by 4:

20,010,211 ÷ 4 = 5,002,552.75

If the quotient is a whole number, then 4 and 5,002,552.75 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 20,010,211
-1 20,010,211
Keep dividing by the next highest number until you cannot divide anymore.

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

1131924781,0131,053,1691,539,24720,010,211
-1-13-19-247-81,013-1,053,169-1,539,247-20,010,211

More Examples

Here are some more numbers to try:

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