Q: What are the factor combinations of the number 20,020,121?

 A:
Positive:   1 x 2002012111 x 182001129 x 69034997 x 206393319 x 62759647 x 309431067 x 187632813 x 7117
Negative: -1 x -20020121-11 x -1820011-29 x -690349-97 x -206393-319 x -62759-647 x -30943-1067 x -18763-2813 x -7117


How do I find the factor combinations of the number 20,020,121?

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 20,020,121, 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 20,020,121
-1 -20,020,121

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 20,020,121.

Example:
1 x 20,020,121 = 20,020,121
and
-1 x -20,020,121 = 20,020,121
Notice both answers equal 20,020,121

With that explanation out of the way, let's continue. Next, we take the number 20,020,121 and divide it by 2:

20,020,121 ÷ 2 = 10,010,060.5

If the quotient is a whole number, then 2 and 10,010,060.5 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 20,020,121
-1 -20,020,121

Now, we try dividing 20,020,121 by 3:

20,020,121 ÷ 3 = 6,673,373.6667

If the quotient is a whole number, then 3 and 6,673,373.6667 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 20,020,121
-1 -20,020,121

Let's try dividing by 4:

20,020,121 ÷ 4 = 5,005,030.25

If the quotient is a whole number, then 4 and 5,005,030.25 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 20,020,121
-1 20,020,121
Keep dividing by the next highest number until you cannot divide anymore.

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

11129973196471,0672,8137,11718,76330,94362,759206,393690,3491,820,01120,020,121
-1-11-29-97-319-647-1,067-2,813-7,117-18,763-30,943-62,759-206,393-690,349-1,820,011-20,020,121

More Examples

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