Q: What are the factor combinations of the number 20,808,425?

 A:
Positive:   1 x 208084255 x 416168511 x 189167517 x 122402525 x 83233755 x 37833585 x 244805187 x 111275275 x 75667425 x 48961935 x 222554451 x 4675
Negative: -1 x -20808425-5 x -4161685-11 x -1891675-17 x -1224025-25 x -832337-55 x -378335-85 x -244805-187 x -111275-275 x -75667-425 x -48961-935 x -22255-4451 x -4675


How do I find the factor combinations of the number 20,808,425?

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 20,808,425, 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 20,808,425
-1 -20,808,425

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 20,808,425.

Example:
1 x 20,808,425 = 20,808,425
and
-1 x -20,808,425 = 20,808,425
Notice both answers equal 20,808,425

With that explanation out of the way, let's continue. Next, we take the number 20,808,425 and divide it by 2:

20,808,425 ÷ 2 = 10,404,212.5

If the quotient is a whole number, then 2 and 10,404,212.5 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 20,808,425
-1 -20,808,425

Now, we try dividing 20,808,425 by 3:

20,808,425 ÷ 3 = 6,936,141.6667

If the quotient is a whole number, then 3 and 6,936,141.6667 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 20,808,425
-1 -20,808,425

Let's try dividing by 4:

20,808,425 ÷ 4 = 5,202,106.25

If the quotient is a whole number, then 4 and 5,202,106.25 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 20,808,425
-1 20,808,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1511172555851872754259354,4514,67522,25548,96175,667111,275244,805378,335832,3371,224,0251,891,6754,161,68520,808,425
-1-5-11-17-25-55-85-187-275-425-935-4,451-4,675-22,255-48,961-75,667-111,275-244,805-378,335-832,337-1,224,025-1,891,675-4,161,685-20,808,425

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