Q: What are the factor combinations of the number 814,255?

 A:
Positive:   1 x 8142555 x 16285113 x 6263565 x 12527
Negative: -1 x -814255-5 x -162851-13 x -62635-65 x -12527


How do I find the factor combinations of the number 814,255?

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 814,255, 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.

1 814,255
-1 -814,255

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 814,255.

Example:
1 x 814,255 = 814,255
and
-1 x -814,255 = 814,255
Notice both answers equal 814,255

With that explanation out of the way, let's continue. Next, we take the number 814,255 and divide it by 2:

814,255 ÷ 2 = 407,127.5

If the quotient is a whole number, then 2 and 407,127.5 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:

1 814,255
-1 -814,255

Now, we try dividing 814,255 by 3:

814,255 ÷ 3 = 271,418.3333

If the quotient is a whole number, then 3 and 271,418.3333 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:

1 814,255
-1 -814,255

Let's try dividing by 4:

814,255 ÷ 4 = 203,563.75

If the quotient is a whole number, then 4 and 203,563.75 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:

1 814,255
-1 814,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15136512,52762,635162,851814,255
-1-5-13-65-12,527-62,635-162,851-814,255

More Examples

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