Q: What are the factor combinations of the number 605,320,331?

 A:
Positive:   1 x 6053203317 x 8647433311 x 5502912143 x 1407721777 x 7861303301 x 2011031473 x 12797473311 x 182821
Negative: -1 x -605320331-7 x -86474333-11 x -55029121-43 x -14077217-77 x -7861303-301 x -2011031-473 x -1279747-3311 x -182821


How do I find the factor combinations of the number 605,320,331?

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 605,320,331, 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.

1 605,320,331
-1 -605,320,331

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 605,320,331.

Example:
1 x 605,320,331 = 605,320,331
and
-1 x -605,320,331 = 605,320,331
Notice both answers equal 605,320,331

With that explanation out of the way, let's continue. Next, we take the number 605,320,331 and divide it by 2:

605,320,331 ÷ 2 = 302,660,165.5

If the quotient is a whole number, then 2 and 302,660,165.5 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:

1 605,320,331
-1 -605,320,331

Now, we try dividing 605,320,331 by 3:

605,320,331 ÷ 3 = 201,773,443.6667

If the quotient is a whole number, then 3 and 201,773,443.6667 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:

1 605,320,331
-1 -605,320,331

Let's try dividing by 4:

605,320,331 ÷ 4 = 151,330,082.75

If the quotient is a whole number, then 4 and 151,330,082.75 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:

1 605,320,331
-1 605,320,331
Keep dividing by the next highest number until you cannot divide anymore.

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

171143773014733,311182,8211,279,7472,011,0317,861,30314,077,21755,029,12186,474,333605,320,331
-1-7-11-43-77-301-473-3,311-182,821-1,279,747-2,011,031-7,861,303-14,077,217-55,029,121-86,474,333-605,320,331

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