Q: What are the factor combinations of the number 6,820,825?

 A:
Positive:   1 x 68208255 x 136416511 x 62007517 x 40122525 x 27283355 x 12401585 x 80245187 x 36475275 x 24803425 x 16049935 x 72951459 x 4675
Negative: -1 x -6820825-5 x -1364165-11 x -620075-17 x -401225-25 x -272833-55 x -124015-85 x -80245-187 x -36475-275 x -24803-425 x -16049-935 x -7295-1459 x -4675


How do I find the factor combinations of the number 6,820,825?

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 6,820,825, 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 6,820,825
-1 -6,820,825

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 6,820,825.

Example:
1 x 6,820,825 = 6,820,825
and
-1 x -6,820,825 = 6,820,825
Notice both answers equal 6,820,825

With that explanation out of the way, let's continue. Next, we take the number 6,820,825 and divide it by 2:

6,820,825 ÷ 2 = 3,410,412.5

If the quotient is a whole number, then 2 and 3,410,412.5 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 6,820,825
-1 -6,820,825

Now, we try dividing 6,820,825 by 3:

6,820,825 ÷ 3 = 2,273,608.3333

If the quotient is a whole number, then 3 and 2,273,608.3333 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 6,820,825
-1 -6,820,825

Let's try dividing by 4:

6,820,825 ÷ 4 = 1,705,206.25

If the quotient is a whole number, then 4 and 1,705,206.25 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 6,820,825
-1 6,820,825
Keep dividing by the next highest number until you cannot divide anymore.

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

1511172555851872754259351,4594,6757,29516,04924,80336,47580,245124,015272,833401,225620,0751,364,1656,820,825
-1-5-11-17-25-55-85-187-275-425-935-1,459-4,675-7,295-16,049-24,803-36,475-80,245-124,015-272,833-401,225-620,075-1,364,165-6,820,825

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