Q: What are the factor combinations of the number 20,441,305?

 A:
Positive:   1 x 204413055 x 408826153 x 385685265 x 77137
Negative: -1 x -20441305-5 x -4088261-53 x -385685-265 x -77137


How do I find the factor combinations of the number 20,441,305?

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 20,441,305, 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 20,441,305
-1 -20,441,305

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 20,441,305.

Example:
1 x 20,441,305 = 20,441,305
and
-1 x -20,441,305 = 20,441,305
Notice both answers equal 20,441,305

With that explanation out of the way, let's continue. Next, we take the number 20,441,305 and divide it by 2:

20,441,305 ÷ 2 = 10,220,652.5

If the quotient is a whole number, then 2 and 10,220,652.5 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 20,441,305
-1 -20,441,305

Now, we try dividing 20,441,305 by 3:

20,441,305 ÷ 3 = 6,813,768.3333

If the quotient is a whole number, then 3 and 6,813,768.3333 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 20,441,305
-1 -20,441,305

Let's try dividing by 4:

20,441,305 ÷ 4 = 5,110,326.25

If the quotient is a whole number, then 4 and 5,110,326.25 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 20,441,305
-1 20,441,305
Keep dividing by the next highest number until you cannot divide anymore.

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

155326577,137385,6854,088,26120,441,305
-1-5-53-265-77,137-385,685-4,088,261-20,441,305

More Examples

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