Q: What are the factor combinations of the number 798,721?

 A:
Positive:   1 x 7987217 x 11410311 x 7261123 x 3472741 x 1948177 x 10373121 x 6601161 x 4961253 x 3157287 x 2783451 x 1771847 x 943
Negative: -1 x -798721-7 x -114103-11 x -72611-23 x -34727-41 x -19481-77 x -10373-121 x -6601-161 x -4961-253 x -3157-287 x -2783-451 x -1771-847 x -943


How do I find the factor combinations of the number 798,721?

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 798,721, 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.

1 798,721
-1 -798,721

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 798,721.

Example:
1 x 798,721 = 798,721
and
-1 x -798,721 = 798,721
Notice both answers equal 798,721

With that explanation out of the way, let's continue. Next, we take the number 798,721 and divide it by 2:

798,721 ÷ 2 = 399,360.5

If the quotient is a whole number, then 2 and 399,360.5 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:

1 798,721
-1 -798,721

Now, we try dividing 798,721 by 3:

798,721 ÷ 3 = 266,240.3333

If the quotient is a whole number, then 3 and 266,240.3333 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:

1 798,721
-1 -798,721

Let's try dividing by 4:

798,721 ÷ 4 = 199,680.25

If the quotient is a whole number, then 4 and 199,680.25 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:

1 798,721
-1 798,721
Keep dividing by the next highest number until you cannot divide anymore.

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

17112341771211612532874518479431,7712,7833,1574,9616,60110,37319,48134,72772,611114,103798,721
-1-7-11-23-41-77-121-161-253-287-451-847-943-1,771-2,783-3,157-4,961-6,601-10,373-19,481-34,727-72,611-114,103-798,721

More Examples

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