Q: What are the factor combinations of the number 562,036,559?

 A:
Positive:   1 x 5620365597 x 8029093729 x 19380571203 x 27686531499 x 3749411847 x 30429710493 x 5356312929 x 43471
Negative: -1 x -562036559-7 x -80290937-29 x -19380571-203 x -2768653-1499 x -374941-1847 x -304297-10493 x -53563-12929 x -43471


How do I find the factor combinations of the number 562,036,559?

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 562,036,559, 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.

1 562,036,559
-1 -562,036,559

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 562,036,559.

Example:
1 x 562,036,559 = 562,036,559
and
-1 x -562,036,559 = 562,036,559
Notice both answers equal 562,036,559

With that explanation out of the way, let's continue. Next, we take the number 562,036,559 and divide it by 2:

562,036,559 ÷ 2 = 281,018,279.5

If the quotient is a whole number, then 2 and 281,018,279.5 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:

1 562,036,559
-1 -562,036,559

Now, we try dividing 562,036,559 by 3:

562,036,559 ÷ 3 = 187,345,519.6667

If the quotient is a whole number, then 3 and 187,345,519.6667 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:

1 562,036,559
-1 -562,036,559

Let's try dividing by 4:

562,036,559 ÷ 4 = 140,509,139.75

If the quotient is a whole number, then 4 and 140,509,139.75 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:

1 562,036,559
-1 562,036,559
Keep dividing by the next highest number until you cannot divide anymore.

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

17292031,4991,84710,49312,92943,47153,563304,297374,9412,768,65319,380,57180,290,937562,036,559
-1-7-29-203-1,499-1,847-10,493-12,929-43,471-53,563-304,297-374,941-2,768,653-19,380,571-80,290,937-562,036,559

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