Q: What are the factor combinations of the number 360,815?

 A:
Positive:   1 x 3608155 x 721637 x 5154513 x 2775535 x 1030961 x 591565 x 555191 x 3965169 x 2135305 x 1183427 x 845455 x 793
Negative: -1 x -360815-5 x -72163-7 x -51545-13 x -27755-35 x -10309-61 x -5915-65 x -5551-91 x -3965-169 x -2135-305 x -1183-427 x -845-455 x -793


How do I find the factor combinations of the number 360,815?

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 360,815, 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.

1 360,815
-1 -360,815

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 360,815.

Example:
1 x 360,815 = 360,815
and
-1 x -360,815 = 360,815
Notice both answers equal 360,815

With that explanation out of the way, let's continue. Next, we take the number 360,815 and divide it by 2:

360,815 ÷ 2 = 180,407.5

If the quotient is a whole number, then 2 and 180,407.5 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:

1 360,815
-1 -360,815

Now, we try dividing 360,815 by 3:

360,815 ÷ 3 = 120,271.6667

If the quotient is a whole number, then 3 and 120,271.6667 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:

1 360,815
-1 -360,815

Let's try dividing by 4:

360,815 ÷ 4 = 90,203.75

If the quotient is a whole number, then 4 and 90,203.75 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:

1 360,815
-1 360,815
Keep dividing by the next highest number until you cannot divide anymore.

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

15713356165911693054274557938451,1832,1353,9655,5515,91510,30927,75551,54572,163360,815
-1-5-7-13-35-61-65-91-169-305-427-455-793-845-1,183-2,135-3,965-5,551-5,915-10,309-27,755-51,545-72,163-360,815

More Examples

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