Q: What are the factor combinations of the number 20,804,345?

 A:
Positive:   1 x 208043455 x 416086917 x 122378585 x 244757311 x 66895787 x 264351555 x 133793935 x 5287
Negative: -1 x -20804345-5 x -4160869-17 x -1223785-85 x -244757-311 x -66895-787 x -26435-1555 x -13379-3935 x -5287


How do I find the factor combinations of the number 20,804,345?

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 20,804,345, 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 20,804,345
-1 -20,804,345

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 20,804,345.

Example:
1 x 20,804,345 = 20,804,345
and
-1 x -20,804,345 = 20,804,345
Notice both answers equal 20,804,345

With that explanation out of the way, let's continue. Next, we take the number 20,804,345 and divide it by 2:

20,804,345 ÷ 2 = 10,402,172.5

If the quotient is a whole number, then 2 and 10,402,172.5 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 20,804,345
-1 -20,804,345

Now, we try dividing 20,804,345 by 3:

20,804,345 ÷ 3 = 6,934,781.6667

If the quotient is a whole number, then 3 and 6,934,781.6667 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 20,804,345
-1 -20,804,345

Let's try dividing by 4:

20,804,345 ÷ 4 = 5,201,086.25

If the quotient is a whole number, then 4 and 5,201,086.25 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 20,804,345
-1 20,804,345
Keep dividing by the next highest number until you cannot divide anymore.

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

1517853117871,5553,9355,28713,37926,43566,895244,7571,223,7854,160,86920,804,345
-1-5-17-85-311-787-1,555-3,935-5,287-13,379-26,435-66,895-244,757-1,223,785-4,160,869-20,804,345

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