Q: What are the factor combinations of the number 828,827?
A:
Positive:
1 x 828827643 x 1289
Negative:
-1 x -828827-643 x -1289
A:
Positive:
1 x 828827643 x 1289
Negative:
-1 x -828827-643 x -1289
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 828,827, 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 | 828,827 | |
-1 | -828,827 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 828,827.
Example:
1 x 828,827 = 828,827
and
-1 x -828,827 = 828,827
Notice both answers equal 828,827
With that explanation out of the way, let's continue. Next, we take the number 828,827 and divide it by 2:
828,827 ÷ 2 = 414,413.5
If the quotient is a whole number, then 2 and 414,413.5 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 | 828,827 | |
-1 | -828,827 |
Now, we try dividing 828,827 by 3:
828,827 ÷ 3 = 276,275.6667
If the quotient is a whole number, then 3 and 276,275.6667 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 | 828,827 | |
-1 | -828,827 |
Let's try dividing by 4:
828,827 ÷ 4 = 207,206.75
If the quotient is a whole number, then 4 and 207,206.75 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 | 828,827 | |
-1 | 828,827 |
If you did it right, you will end up with this table:
1 | 643 | 1,289 | 828,827 |
-1 | -643 | -1,289 | -828,827 |
Here are some more numbers to try:
Try the factor calculator