Q: What are the factor combinations of the number 567,815?

 A:
Positive:   1 x 5678155 x 11356319 x 2988543 x 1320595 x 5977139 x 4085215 x 2641695 x 817
Negative: -1 x -567815-5 x -113563-19 x -29885-43 x -13205-95 x -5977-139 x -4085-215 x -2641-695 x -817


How do I find the factor combinations of the number 567,815?

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 567,815, 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.

1 567,815
-1 -567,815

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 567,815.

Example:
1 x 567,815 = 567,815
and
-1 x -567,815 = 567,815
Notice both answers equal 567,815

With that explanation out of the way, let's continue. Next, we take the number 567,815 and divide it by 2:

567,815 ÷ 2 = 283,907.5

If the quotient is a whole number, then 2 and 283,907.5 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:

1 567,815
-1 -567,815

Now, we try dividing 567,815 by 3:

567,815 ÷ 3 = 189,271.6667

If the quotient is a whole number, then 3 and 189,271.6667 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:

1 567,815
-1 -567,815

Let's try dividing by 4:

567,815 ÷ 4 = 141,953.75

If the quotient is a whole number, then 4 and 141,953.75 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:

1 567,815
-1 567,815
Keep dividing by the next highest number until you cannot divide anymore.

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

151943951392156958172,6414,0855,97713,20529,885113,563567,815
-1-5-19-43-95-139-215-695-817-2,641-4,085-5,977-13,205-29,885-113,563-567,815

More Examples

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