Q: What are the factor combinations of the number 1,031,855?

 A:
Positive:   1 x 10318555 x 20637111 x 9380555 x 1876173 x 14135257 x 4015365 x 2827803 x 1285
Negative: -1 x -1031855-5 x -206371-11 x -93805-55 x -18761-73 x -14135-257 x -4015-365 x -2827-803 x -1285


How do I find the factor combinations of the number 1,031,855?

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 1,031,855, 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 1,031,855
-1 -1,031,855

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 1,031,855.

Example:
1 x 1,031,855 = 1,031,855
and
-1 x -1,031,855 = 1,031,855
Notice both answers equal 1,031,855

With that explanation out of the way, let's continue. Next, we take the number 1,031,855 and divide it by 2:

1,031,855 ÷ 2 = 515,927.5

If the quotient is a whole number, then 2 and 515,927.5 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 1,031,855
-1 -1,031,855

Now, we try dividing 1,031,855 by 3:

1,031,855 ÷ 3 = 343,951.6667

If the quotient is a whole number, then 3 and 343,951.6667 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 1,031,855
-1 -1,031,855

Let's try dividing by 4:

1,031,855 ÷ 4 = 257,963.75

If the quotient is a whole number, then 4 and 257,963.75 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 1,031,855
-1 1,031,855
Keep dividing by the next highest number until you cannot divide anymore.

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

151155732573658031,2852,8274,01514,13518,76193,805206,3711,031,855
-1-5-11-55-73-257-365-803-1,285-2,827-4,015-14,135-18,761-93,805-206,371-1,031,855

More Examples

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