Q: What are the factor combinations of the number 6,765,425?

 A:
Positive:   1 x 67654255 x 135308519 x 35607525 x 27061795 x 71215475 x 14243
Negative: -1 x -6765425-5 x -1353085-19 x -356075-25 x -270617-95 x -71215-475 x -14243


How do I find the factor combinations of the number 6,765,425?

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 6,765,425, 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 6,765,425
-1 -6,765,425

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 6,765,425.

Example:
1 x 6,765,425 = 6,765,425
and
-1 x -6,765,425 = 6,765,425
Notice both answers equal 6,765,425

With that explanation out of the way, let's continue. Next, we take the number 6,765,425 and divide it by 2:

6,765,425 ÷ 2 = 3,382,712.5

If the quotient is a whole number, then 2 and 3,382,712.5 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 6,765,425
-1 -6,765,425

Now, we try dividing 6,765,425 by 3:

6,765,425 ÷ 3 = 2,255,141.6667

If the quotient is a whole number, then 3 and 2,255,141.6667 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 6,765,425
-1 -6,765,425

Let's try dividing by 4:

6,765,425 ÷ 4 = 1,691,356.25

If the quotient is a whole number, then 4 and 1,691,356.25 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 6,765,425
-1 6,765,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1519259547514,24371,215270,617356,0751,353,0856,765,425
-1-5-19-25-95-475-14,243-71,215-270,617-356,075-1,353,085-6,765,425

More Examples

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