Q: What are the factor combinations of the number 813,455?
A:
Positive:
1 x 8134555 x 162691
Negative:
-1 x -813455-5 x -162691
A:
Positive:
1 x 8134555 x 162691
Negative:
-1 x -813455-5 x -162691
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 813,455, it is easier to work with a table - it's called factoring from the outside in.
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 | 813,455 | |
-1 | -813,455 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 813,455.
Example:
1 x 813,455 = 813,455
and
-1 x -813,455 = 813,455
Notice both answers equal 813,455
With that explanation out of the way, let's continue. Next, we take the number 813,455 and divide it by 2:
813,455 ÷ 2 = 406,727.5
If the quotient is a whole number, then 2 and 406,727.5 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 | 813,455 | |
-1 | -813,455 |
Now, we try dividing 813,455 by 3:
813,455 ÷ 3 = 271,151.6667
If the quotient is a whole number, then 3 and 271,151.6667 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 | 813,455 | |
-1 | -813,455 |
Let's try dividing by 4:
813,455 ÷ 4 = 203,363.75
If the quotient is a whole number, then 4 and 203,363.75 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 | 813,455 | |
-1 | 813,455 |
If you did it right, you will end up with this table:
1 | 5 | 162,691 | 813,455 |
-1 | -5 | -162,691 | -813,455 |
Here are some more numbers to try:
Try the factor calculator