Q: What are the factor combinations of the number 685,775?
A:
Positive:
1 x 6857755 x 13715525 x 27431
Negative:
-1 x -685775-5 x -137155-25 x -27431
A:
Positive:
1 x 6857755 x 13715525 x 27431
Negative:
-1 x -685775-5 x -137155-25 x -27431
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 685,775, 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 | 685,775 | |
-1 | -685,775 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 685,775.
Example:
1 x 685,775 = 685,775
and
-1 x -685,775 = 685,775
Notice both answers equal 685,775
With that explanation out of the way, let's continue. Next, we take the number 685,775 and divide it by 2:
685,775 ÷ 2 = 342,887.5
If the quotient is a whole number, then 2 and 342,887.5 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 | 685,775 | |
-1 | -685,775 |
Now, we try dividing 685,775 by 3:
685,775 ÷ 3 = 228,591.6667
If the quotient is a whole number, then 3 and 228,591.6667 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 | 685,775 | |
-1 | -685,775 |
Let's try dividing by 4:
685,775 ÷ 4 = 171,443.75
If the quotient is a whole number, then 4 and 171,443.75 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 | 685,775 | |
-1 | 685,775 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 27,431 | 137,155 | 685,775 |
-1 | -5 | -25 | -27,431 | -137,155 | -685,775 |
Here are some more numbers to try:
Try the factor calculator