Q: What are the factor combinations of the number 580,632,013?

 A:
Positive:   1 x 58063201313 x 4466400153 x 10955321223 x 2603731689 x 8427172899 x 2002873779 x 15364711819 x 49127
Negative: -1 x -580632013-13 x -44664001-53 x -10955321-223 x -2603731-689 x -842717-2899 x -200287-3779 x -153647-11819 x -49127


How do I find the factor combinations of the number 580,632,013?

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 580,632,013, 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.

1 580,632,013
-1 -580,632,013

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 580,632,013.

Example:
1 x 580,632,013 = 580,632,013
and
-1 x -580,632,013 = 580,632,013
Notice both answers equal 580,632,013

With that explanation out of the way, let's continue. Next, we take the number 580,632,013 and divide it by 2:

580,632,013 ÷ 2 = 290,316,006.5

If the quotient is a whole number, then 2 and 290,316,006.5 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:

1 580,632,013
-1 -580,632,013

Now, we try dividing 580,632,013 by 3:

580,632,013 ÷ 3 = 193,544,004.3333

If the quotient is a whole number, then 3 and 193,544,004.3333 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:

1 580,632,013
-1 -580,632,013

Let's try dividing by 4:

580,632,013 ÷ 4 = 145,158,003.25

If the quotient is a whole number, then 4 and 145,158,003.25 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:

1 580,632,013
-1 580,632,013
Keep dividing by the next highest number until you cannot divide anymore.

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

113532236892,8993,77911,81949,127153,647200,287842,7172,603,73110,955,32144,664,001580,632,013
-1-13-53-223-689-2,899-3,779-11,819-49,127-153,647-200,287-842,717-2,603,731-10,955,321-44,664,001-580,632,013

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