Q: What are the factor combinations of the number 813,625?

 A:
Positive:   1 x 8136255 x 16272523 x 3537525 x 32545115 x 7075125 x 6509283 x 2875575 x 1415
Negative: -1 x -813625-5 x -162725-23 x -35375-25 x -32545-115 x -7075-125 x -6509-283 x -2875-575 x -1415


How do I find the factor combinations of the number 813,625?

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 813,625, 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.

1 813,625
-1 -813,625

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 813,625.

Example:
1 x 813,625 = 813,625
and
-1 x -813,625 = 813,625
Notice both answers equal 813,625

With that explanation out of the way, let's continue. Next, we take the number 813,625 and divide it by 2:

813,625 ÷ 2 = 406,812.5

If the quotient is a whole number, then 2 and 406,812.5 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:

1 813,625
-1 -813,625

Now, we try dividing 813,625 by 3:

813,625 ÷ 3 = 271,208.3333

If the quotient is a whole number, then 3 and 271,208.3333 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:

1 813,625
-1 -813,625

Let's try dividing by 4:

813,625 ÷ 4 = 203,406.25

If the quotient is a whole number, then 4 and 203,406.25 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:

1 813,625
-1 813,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251151252835751,4152,8756,5097,07532,54535,375162,725813,625
-1-5-23-25-115-125-283-575-1,415-2,875-6,509-7,075-32,545-35,375-162,725-813,625

More Examples

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