Q: What are the factor combinations of the number 585,875?

 A:
Positive:   1 x 5858755 x 11717525 x 2343543 x 13625109 x 5375125 x 4687215 x 2725545 x 1075
Negative: -1 x -585875-5 x -117175-25 x -23435-43 x -13625-109 x -5375-125 x -4687-215 x -2725-545 x -1075


How do I find the factor combinations of the number 585,875?

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 585,875, 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.

1 585,875
-1 -585,875

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 585,875.

Example:
1 x 585,875 = 585,875
and
-1 x -585,875 = 585,875
Notice both answers equal 585,875

With that explanation out of the way, let's continue. Next, we take the number 585,875 and divide it by 2:

585,875 ÷ 2 = 292,937.5

If the quotient is a whole number, then 2 and 292,937.5 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:

1 585,875
-1 -585,875

Now, we try dividing 585,875 by 3:

585,875 ÷ 3 = 195,291.6667

If the quotient is a whole number, then 3 and 195,291.6667 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:

1 585,875
-1 -585,875

Let's try dividing by 4:

585,875 ÷ 4 = 146,468.75

If the quotient is a whole number, then 4 and 146,468.75 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:

1 585,875
-1 585,875
Keep dividing by the next highest number until you cannot divide anymore.

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

1525431091252155451,0752,7254,6875,37513,62523,435117,175585,875
-1-5-25-43-109-125-215-545-1,075-2,725-4,687-5,375-13,625-23,435-117,175-585,875

More Examples

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