Q: What are the factor combinations of the number 1,040,815?

 A:
Positive:   1 x 10408155 x 20816343 x 2420547 x 22145103 x 10105215 x 4841235 x 4429515 x 2021
Negative: -1 x -1040815-5 x -208163-43 x -24205-47 x -22145-103 x -10105-215 x -4841-235 x -4429-515 x -2021


How do I find the factor combinations of the number 1,040,815?

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 1,040,815, 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 1,040,815
-1 -1,040,815

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 1,040,815.

Example:
1 x 1,040,815 = 1,040,815
and
-1 x -1,040,815 = 1,040,815
Notice both answers equal 1,040,815

With that explanation out of the way, let's continue. Next, we take the number 1,040,815 and divide it by 2:

1,040,815 ÷ 2 = 520,407.5

If the quotient is a whole number, then 2 and 520,407.5 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 1,040,815
-1 -1,040,815

Now, we try dividing 1,040,815 by 3:

1,040,815 ÷ 3 = 346,938.3333

If the quotient is a whole number, then 3 and 346,938.3333 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 1,040,815
-1 -1,040,815

Let's try dividing by 4:

1,040,815 ÷ 4 = 260,203.75

If the quotient is a whole number, then 4 and 260,203.75 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 1,040,815
-1 1,040,815
Keep dividing by the next highest number until you cannot divide anymore.

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

1543471032152355152,0214,4294,84110,10522,14524,205208,1631,040,815
-1-5-43-47-103-215-235-515-2,021-4,429-4,841-10,105-22,145-24,205-208,163-1,040,815

More Examples

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