Q: What are the factor combinations of the number 794,675?

 A:
Positive:   1 x 7946755 x 1589357 x 11352519 x 4182525 x 3178735 x 2270595 x 8365133 x 5975175 x 4541239 x 3325475 x 1673665 x 1195
Negative: -1 x -794675-5 x -158935-7 x -113525-19 x -41825-25 x -31787-35 x -22705-95 x -8365-133 x -5975-175 x -4541-239 x -3325-475 x -1673-665 x -1195


How do I find the factor combinations of the number 794,675?

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 794,675, 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.

1 794,675
-1 -794,675

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 794,675.

Example:
1 x 794,675 = 794,675
and
-1 x -794,675 = 794,675
Notice both answers equal 794,675

With that explanation out of the way, let's continue. Next, we take the number 794,675 and divide it by 2:

794,675 ÷ 2 = 397,337.5

If the quotient is a whole number, then 2 and 397,337.5 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:

1 794,675
-1 -794,675

Now, we try dividing 794,675 by 3:

794,675 ÷ 3 = 264,891.6667

If the quotient is a whole number, then 3 and 264,891.6667 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:

1 794,675
-1 -794,675

Let's try dividing by 4:

794,675 ÷ 4 = 198,668.75

If the quotient is a whole number, then 4 and 198,668.75 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:

1 794,675
-1 794,675
Keep dividing by the next highest number until you cannot divide anymore.

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

157192535951331752394756651,1951,6733,3254,5415,9758,36522,70531,78741,825113,525158,935794,675
-1-5-7-19-25-35-95-133-175-239-475-665-1,195-1,673-3,325-4,541-5,975-8,365-22,705-31,787-41,825-113,525-158,935-794,675

More Examples

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