Q: What are the factor combinations of the number 765,917?
A:
Positive:
1 x 76591731 x 24707797 x 961
Negative:
-1 x -765917-31 x -24707-797 x -961
A:
Positive:
1 x 76591731 x 24707797 x 961
Negative:
-1 x -765917-31 x -24707-797 x -961
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 765,917, 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 | 765,917 | |
-1 | -765,917 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 765,917.
Example:
1 x 765,917 = 765,917
and
-1 x -765,917 = 765,917
Notice both answers equal 765,917
With that explanation out of the way, let's continue. Next, we take the number 765,917 and divide it by 2:
765,917 ÷ 2 = 382,958.5
If the quotient is a whole number, then 2 and 382,958.5 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 | 765,917 | |
-1 | -765,917 |
Now, we try dividing 765,917 by 3:
765,917 ÷ 3 = 255,305.6667
If the quotient is a whole number, then 3 and 255,305.6667 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 | 765,917 | |
-1 | -765,917 |
Let's try dividing by 4:
765,917 ÷ 4 = 191,479.25
If the quotient is a whole number, then 4 and 191,479.25 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 | 765,917 | |
-1 | 765,917 |
If you did it right, you will end up with this table:
1 | 31 | 797 | 961 | 24,707 | 765,917 |
-1 | -31 | -797 | -961 | -24,707 | -765,917 |
Here are some more numbers to try:
Try the factor calculator