Q: What are the factor combinations of the number 828,313?
A:
Positive:
1 x 828313131 x 6323
Negative:
-1 x -828313-131 x -6323
A:
Positive:
1 x 828313131 x 6323
Negative:
-1 x -828313-131 x -6323
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 828,313, 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 | 828,313 | |
-1 | -828,313 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 828,313.
Example:
1 x 828,313 = 828,313
and
-1 x -828,313 = 828,313
Notice both answers equal 828,313
With that explanation out of the way, let's continue. Next, we take the number 828,313 and divide it by 2:
828,313 ÷ 2 = 414,156.5
If the quotient is a whole number, then 2 and 414,156.5 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 | 828,313 | |
-1 | -828,313 |
Now, we try dividing 828,313 by 3:
828,313 ÷ 3 = 276,104.3333
If the quotient is a whole number, then 3 and 276,104.3333 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 | 828,313 | |
-1 | -828,313 |
Let's try dividing by 4:
828,313 ÷ 4 = 207,078.25
If the quotient is a whole number, then 4 and 207,078.25 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 | 828,313 | |
-1 | 828,313 |
If you did it right, you will end up with this table:
1 | 131 | 6,323 | 828,313 |
-1 | -131 | -6,323 | -828,313 |
Here are some more numbers to try:
Try the factor calculator