Q: What are the factor combinations of the number 20,441,125?

 A:
Positive:   1 x 204411255 x 408822525 x 81764543 x 475375125 x 163529215 x 950751075 x 190153803 x 5375
Negative: -1 x -20441125-5 x -4088225-25 x -817645-43 x -475375-125 x -163529-215 x -95075-1075 x -19015-3803 x -5375


How do I find the factor combinations of the number 20,441,125?

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 20,441,125, 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 20,441,125
-1 -20,441,125

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 20,441,125.

Example:
1 x 20,441,125 = 20,441,125
and
-1 x -20,441,125 = 20,441,125
Notice both answers equal 20,441,125

With that explanation out of the way, let's continue. Next, we take the number 20,441,125 and divide it by 2:

20,441,125 ÷ 2 = 10,220,562.5

If the quotient is a whole number, then 2 and 10,220,562.5 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 20,441,125
-1 -20,441,125

Now, we try dividing 20,441,125 by 3:

20,441,125 ÷ 3 = 6,813,708.3333

If the quotient is a whole number, then 3 and 6,813,708.3333 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 20,441,125
-1 -20,441,125

Let's try dividing by 4:

20,441,125 ÷ 4 = 5,110,281.25

If the quotient is a whole number, then 4 and 5,110,281.25 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 20,441,125
-1 20,441,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525431252151,0753,8035,37519,01595,075163,529475,375817,6454,088,22520,441,125
-1-5-25-43-125-215-1,075-3,803-5,375-19,015-95,075-163,529-475,375-817,645-4,088,225-20,441,125

More Examples

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