Q: What are the factor combinations of the number 957,485?
A:
Positive:
1 x 9574855 x 191497
Negative:
-1 x -957485-5 x -191497
A:
Positive:
1 x 9574855 x 191497
Negative:
-1 x -957485-5 x -191497
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 957,485, 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 | 957,485 | |
-1 | -957,485 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 957,485.
Example:
1 x 957,485 = 957,485
and
-1 x -957,485 = 957,485
Notice both answers equal 957,485
With that explanation out of the way, let's continue. Next, we take the number 957,485 and divide it by 2:
957,485 ÷ 2 = 478,742.5
If the quotient is a whole number, then 2 and 478,742.5 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 | 957,485 | |
-1 | -957,485 |
Now, we try dividing 957,485 by 3:
957,485 ÷ 3 = 319,161.6667
If the quotient is a whole number, then 3 and 319,161.6667 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 | 957,485 | |
-1 | -957,485 |
Let's try dividing by 4:
957,485 ÷ 4 = 239,371.25
If the quotient is a whole number, then 4 and 239,371.25 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 | 957,485 | |
-1 | 957,485 |
If you did it right, you will end up with this table:
1 | 5 | 191,497 | 957,485 |
-1 | -5 | -191,497 | -957,485 |
Here are some more numbers to try:
Try the factor calculator