Q: What are the factor combinations of the number 641,825?
A:
Positive:
1 x 6418255 x 12836525 x 25673
Negative:
-1 x -641825-5 x -128365-25 x -25673
A:
Positive:
1 x 6418255 x 12836525 x 25673
Negative:
-1 x -641825-5 x -128365-25 x -25673
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 641,825, 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 | 641,825 | |
-1 | -641,825 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 641,825.
Example:
1 x 641,825 = 641,825
and
-1 x -641,825 = 641,825
Notice both answers equal 641,825
With that explanation out of the way, let's continue. Next, we take the number 641,825 and divide it by 2:
641,825 ÷ 2 = 320,912.5
If the quotient is a whole number, then 2 and 320,912.5 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 | 641,825 | |
-1 | -641,825 |
Now, we try dividing 641,825 by 3:
641,825 ÷ 3 = 213,941.6667
If the quotient is a whole number, then 3 and 213,941.6667 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 | 641,825 | |
-1 | -641,825 |
Let's try dividing by 4:
641,825 ÷ 4 = 160,456.25
If the quotient is a whole number, then 4 and 160,456.25 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 | 641,825 | |
-1 | 641,825 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 25,673 | 128,365 | 641,825 |
-1 | -5 | -25 | -25,673 | -128,365 | -641,825 |
Here are some more numbers to try:
Try the factor calculator