Q: What are the factor combinations of the number 814,025?

 A:
Positive:   1 x 8140255 x 16280525 x 32561
Negative: -1 x -814025-5 x -162805-25 x -32561


How do I find the factor combinations of the number 814,025?

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 814,025, 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.

1 814,025
-1 -814,025

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 814,025.

Example:
1 x 814,025 = 814,025
and
-1 x -814,025 = 814,025
Notice both answers equal 814,025

With that explanation out of the way, let's continue. Next, we take the number 814,025 and divide it by 2:

814,025 ÷ 2 = 407,012.5

If the quotient is a whole number, then 2 and 407,012.5 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:

1 814,025
-1 -814,025

Now, we try dividing 814,025 by 3:

814,025 ÷ 3 = 271,341.6667

If the quotient is a whole number, then 3 and 271,341.6667 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:

1 814,025
-1 -814,025

Let's try dividing by 4:

814,025 ÷ 4 = 203,506.25

If the quotient is a whole number, then 4 and 203,506.25 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:

1 814,025
-1 814,025
Keep dividing by the next highest number until you cannot divide anymore.

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

152532,561162,805814,025
-1-5-25-32,561-162,805-814,025

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 814,025:


Ask a Question