Q: What are the factor combinations of the number 20,404,241?

 A:
Positive:   1 x 2040424111 x 185493113 x 156955797 x 210353143 x 1426871067 x 191231261 x 161811471 x 13871
Negative: -1 x -20404241-11 x -1854931-13 x -1569557-97 x -210353-143 x -142687-1067 x -19123-1261 x -16181-1471 x -13871


How do I find the factor combinations of the number 20,404,241?

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 20,404,241, 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 20,404,241
-1 -20,404,241

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 20,404,241.

Example:
1 x 20,404,241 = 20,404,241
and
-1 x -20,404,241 = 20,404,241
Notice both answers equal 20,404,241

With that explanation out of the way, let's continue. Next, we take the number 20,404,241 and divide it by 2:

20,404,241 ÷ 2 = 10,202,120.5

If the quotient is a whole number, then 2 and 10,202,120.5 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 20,404,241
-1 -20,404,241

Now, we try dividing 20,404,241 by 3:

20,404,241 ÷ 3 = 6,801,413.6667

If the quotient is a whole number, then 3 and 6,801,413.6667 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 20,404,241
-1 -20,404,241

Let's try dividing by 4:

20,404,241 ÷ 4 = 5,101,060.25

If the quotient is a whole number, then 4 and 5,101,060.25 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 20,404,241
-1 20,404,241
Keep dividing by the next highest number until you cannot divide anymore.

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

11113971431,0671,2611,47113,87116,18119,123142,687210,3531,569,5571,854,93120,404,241
-1-11-13-97-143-1,067-1,261-1,471-13,871-16,181-19,123-142,687-210,353-1,569,557-1,854,931-20,404,241

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