Q: What are the factor combinations of the number 825,108,665?
A:
Positive:
1 x 8251086655 x 165021733
Negative:
-1 x -825108665-5 x -165021733
A:
Positive:
1 x 8251086655 x 165021733
Negative:
-1 x -825108665-5 x -165021733
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 825,108,665, 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 | 825,108,665 | |
-1 | -825,108,665 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 825,108,665.
Example:
1 x 825,108,665 = 825,108,665
and
-1 x -825,108,665 = 825,108,665
Notice both answers equal 825,108,665
With that explanation out of the way, let's continue. Next, we take the number 825,108,665 and divide it by 2:
825,108,665 ÷ 2 = 412,554,332.5
If the quotient is a whole number, then 2 and 412,554,332.5 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 | 825,108,665 | |
-1 | -825,108,665 |
Now, we try dividing 825,108,665 by 3:
825,108,665 ÷ 3 = 275,036,221.6667
If the quotient is a whole number, then 3 and 275,036,221.6667 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 | 825,108,665 | |
-1 | -825,108,665 |
Let's try dividing by 4:
825,108,665 ÷ 4 = 206,277,166.25
If the quotient is a whole number, then 4 and 206,277,166.25 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 | 825,108,665 | |
-1 | 825,108,665 |
If you did it right, you will end up with this table:
1 | 5 | 165,021,733 | 825,108,665 |
-1 | -5 | -165,021,733 | -825,108,665 |
Here are some more numbers to try:
Try the factor calculator