Q: What are the factor combinations of the number 985,855?

 A:
Positive:   1 x 9858555 x 19717113 x 7583529 x 3399565 x 15167145 x 6799377 x 2615523 x 1885
Negative: -1 x -985855-5 x -197171-13 x -75835-29 x -33995-65 x -15167-145 x -6799-377 x -2615-523 x -1885


How do I find the factor combinations of the number 985,855?

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 985,855, 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.

1 985,855
-1 -985,855

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 985,855.

Example:
1 x 985,855 = 985,855
and
-1 x -985,855 = 985,855
Notice both answers equal 985,855

With that explanation out of the way, let's continue. Next, we take the number 985,855 and divide it by 2:

985,855 ÷ 2 = 492,927.5

If the quotient is a whole number, then 2 and 492,927.5 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:

1 985,855
-1 -985,855

Now, we try dividing 985,855 by 3:

985,855 ÷ 3 = 328,618.3333

If the quotient is a whole number, then 3 and 328,618.3333 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:

1 985,855
-1 -985,855

Let's try dividing by 4:

985,855 ÷ 4 = 246,463.75

If the quotient is a whole number, then 4 and 246,463.75 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:

1 985,855
-1 985,855
Keep dividing by the next highest number until you cannot divide anymore.

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

151329651453775231,8852,6156,79915,16733,99575,835197,171985,855
-1-5-13-29-65-145-377-523-1,885-2,615-6,799-15,167-33,995-75,835-197,171-985,855

More Examples

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