Q: What are the factor combinations of the number 680,485?

 A:
Positive:   1 x 6804855 x 13609713 x 5234519 x 3581529 x 2346565 x 1046995 x 7163145 x 4693247 x 2755361 x 1885377 x 1805551 x 1235
Negative: -1 x -680485-5 x -136097-13 x -52345-19 x -35815-29 x -23465-65 x -10469-95 x -7163-145 x -4693-247 x -2755-361 x -1885-377 x -1805-551 x -1235


How do I find the factor combinations of the number 680,485?

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 680,485, 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.

1 680,485
-1 -680,485

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 680,485.

Example:
1 x 680,485 = 680,485
and
-1 x -680,485 = 680,485
Notice both answers equal 680,485

With that explanation out of the way, let's continue. Next, we take the number 680,485 and divide it by 2:

680,485 ÷ 2 = 340,242.5

If the quotient is a whole number, then 2 and 340,242.5 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:

1 680,485
-1 -680,485

Now, we try dividing 680,485 by 3:

680,485 ÷ 3 = 226,828.3333

If the quotient is a whole number, then 3 and 226,828.3333 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:

1 680,485
-1 -680,485

Let's try dividing by 4:

680,485 ÷ 4 = 170,121.25

If the quotient is a whole number, then 4 and 170,121.25 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:

1 680,485
-1 680,485
Keep dividing by the next highest number until you cannot divide anymore.

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

1513192965951452473613775511,2351,8051,8852,7554,6937,16310,46923,46535,81552,345136,097680,485
-1-5-13-19-29-65-95-145-247-361-377-551-1,235-1,805-1,885-2,755-4,693-7,163-10,469-23,465-35,815-52,345-136,097-680,485

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