Q: What are the factor combinations of the number 360,550,619?

 A:
Positive:   1 x 36055061911 x 3277732913 x 27734663143 x 2521333467 x 7720575137 x 701875399 x 667816071 x 59389
Negative: -1 x -360550619-11 x -32777329-13 x -27734663-143 x -2521333-467 x -772057-5137 x -70187-5399 x -66781-6071 x -59389


How do I find the factor combinations of the number 360,550,619?

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 360,550,619, 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.

1 360,550,619
-1 -360,550,619

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 360,550,619.

Example:
1 x 360,550,619 = 360,550,619
and
-1 x -360,550,619 = 360,550,619
Notice both answers equal 360,550,619

With that explanation out of the way, let's continue. Next, we take the number 360,550,619 and divide it by 2:

360,550,619 ÷ 2 = 180,275,309.5

If the quotient is a whole number, then 2 and 180,275,309.5 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:

1 360,550,619
-1 -360,550,619

Now, we try dividing 360,550,619 by 3:

360,550,619 ÷ 3 = 120,183,539.6667

If the quotient is a whole number, then 3 and 120,183,539.6667 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:

1 360,550,619
-1 -360,550,619

Let's try dividing by 4:

360,550,619 ÷ 4 = 90,137,654.75

If the quotient is a whole number, then 4 and 90,137,654.75 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:

1 360,550,619
-1 360,550,619
Keep dividing by the next highest number until you cannot divide anymore.

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

111131434675,1375,3996,07159,38966,78170,187772,0572,521,33327,734,66332,777,329360,550,619
-1-11-13-143-467-5,137-5,399-6,071-59,389-66,781-70,187-772,057-2,521,333-27,734,663-32,777,329-360,550,619

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