Q: What are the factor combinations of the number 20,019,041?

 A:
Positive:   1 x 200190417 x 285986361 x 328181173 x 115717271 x 73871427 x 468831211 x 165311897 x 10553
Negative: -1 x -20019041-7 x -2859863-61 x -328181-173 x -115717-271 x -73871-427 x -46883-1211 x -16531-1897 x -10553


How do I find the factor combinations of the number 20,019,041?

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 20,019,041, 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 20,019,041
-1 -20,019,041

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 20,019,041.

Example:
1 x 20,019,041 = 20,019,041
and
-1 x -20,019,041 = 20,019,041
Notice both answers equal 20,019,041

With that explanation out of the way, let's continue. Next, we take the number 20,019,041 and divide it by 2:

20,019,041 ÷ 2 = 10,009,520.5

If the quotient is a whole number, then 2 and 10,009,520.5 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 20,019,041
-1 -20,019,041

Now, we try dividing 20,019,041 by 3:

20,019,041 ÷ 3 = 6,673,013.6667

If the quotient is a whole number, then 3 and 6,673,013.6667 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 20,019,041
-1 -20,019,041

Let's try dividing by 4:

20,019,041 ÷ 4 = 5,004,760.25

If the quotient is a whole number, then 4 and 5,004,760.25 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 20,019,041
-1 20,019,041
Keep dividing by the next highest number until you cannot divide anymore.

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

17611732714271,2111,89710,55316,53146,88373,871115,717328,1812,859,86320,019,041
-1-7-61-173-271-427-1,211-1,897-10,553-16,531-46,883-73,871-115,717-328,181-2,859,863-20,019,041

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