Q: What are the factor combinations of the number 6,815?

 A:
Positive:   1 x 68155 x 136329 x 23547 x 145
Negative: -1 x -6815-5 x -1363-29 x -235-47 x -145


How do I find the factor combinations of the number 6,815?

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 6,815, 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 6,815
-1 -6,815

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 6,815.

Example:
1 x 6,815 = 6,815
and
-1 x -6,815 = 6,815
Notice both answers equal 6,815

With that explanation out of the way, let's continue. Next, we take the number 6,815 and divide it by 2:

6,815 ÷ 2 = 3,407.5

If the quotient is a whole number, then 2 and 3,407.5 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 6,815
-1 -6,815

Now, we try dividing 6,815 by 3:

6,815 ÷ 3 = 2,271.6667

If the quotient is a whole number, then 3 and 2,271.6667 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 6,815
-1 -6,815

Let's try dividing by 4:

6,815 ÷ 4 = 1,703.75

If the quotient is a whole number, then 4 and 1,703.75 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 6,815
-1 6,815
Keep dividing by the next highest number until you cannot divide anymore.

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

1529471452351,3636,815
-1-5-29-47-145-235-1,363-6,815

More Examples

Here are some more numbers to try:

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