Q: What are the factor combinations of the number 793,927?

 A:
Positive:   1 x 793927
Negative: -1 x -793927


How do I find the factor combinations of the number 793,927?

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 793,927, 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.

1 793,927
-1 -793,927

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 793,927.

Example:
1 x 793,927 = 793,927
and
-1 x -793,927 = 793,927
Notice both answers equal 793,927

With that explanation out of the way, let's continue. Next, we take the number 793,927 and divide it by 2:

793,927 ÷ 2 = 396,963.5

If the quotient is a whole number, then 2 and 396,963.5 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:

1 793,927
-1 -793,927

Now, we try dividing 793,927 by 3:

793,927 ÷ 3 = 264,642.3333

If the quotient is a whole number, then 3 and 264,642.3333 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:

1 793,927
-1 -793,927

Let's try dividing by 4:

793,927 ÷ 4 = 198,481.75

If the quotient is a whole number, then 4 and 198,481.75 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:

1 793,927
-1 793,927
Keep dividing by the next highest number until you cannot divide anymore.

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

1793,927
-1-793,927

More Examples

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