Q: What are the factor combinations of the number 978,835?

 A:
Positive:   1 x 9788355 x 19576711 x 8898513 x 7529537 x 2645555 x 1779765 x 15059143 x 6845185 x 5291407 x 2405481 x 2035715 x 1369
Negative: -1 x -978835-5 x -195767-11 x -88985-13 x -75295-37 x -26455-55 x -17797-65 x -15059-143 x -6845-185 x -5291-407 x -2405-481 x -2035-715 x -1369


How do I find the factor combinations of the number 978,835?

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 978,835, 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.

1 978,835
-1 -978,835

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 978,835.

Example:
1 x 978,835 = 978,835
and
-1 x -978,835 = 978,835
Notice both answers equal 978,835

With that explanation out of the way, let's continue. Next, we take the number 978,835 and divide it by 2:

978,835 ÷ 2 = 489,417.5

If the quotient is a whole number, then 2 and 489,417.5 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:

1 978,835
-1 -978,835

Now, we try dividing 978,835 by 3:

978,835 ÷ 3 = 326,278.3333

If the quotient is a whole number, then 3 and 326,278.3333 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:

1 978,835
-1 -978,835

Let's try dividing by 4:

978,835 ÷ 4 = 244,708.75

If the quotient is a whole number, then 4 and 244,708.75 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:

1 978,835
-1 978,835
Keep dividing by the next highest number until you cannot divide anymore.

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

1511133755651431854074817151,3692,0352,4055,2916,84515,05917,79726,45575,29588,985195,767978,835
-1-5-11-13-37-55-65-143-185-407-481-715-1,369-2,035-2,405-5,291-6,845-15,059-17,797-26,455-75,295-88,985-195,767-978,835

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