Q: What are the factor combinations of the number 768,413?
A:
Positive:
1 x 76841329 x 26497
Negative:
-1 x -768413-29 x -26497
A:
Positive:
1 x 76841329 x 26497
Negative:
-1 x -768413-29 x -26497
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 768,413, 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 | 768,413 | |
-1 | -768,413 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 768,413.
Example:
1 x 768,413 = 768,413
and
-1 x -768,413 = 768,413
Notice both answers equal 768,413
With that explanation out of the way, let's continue. Next, we take the number 768,413 and divide it by 2:
768,413 ÷ 2 = 384,206.5
If the quotient is a whole number, then 2 and 384,206.5 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 | 768,413 | |
-1 | -768,413 |
Now, we try dividing 768,413 by 3:
768,413 ÷ 3 = 256,137.6667
If the quotient is a whole number, then 3 and 256,137.6667 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 | 768,413 | |
-1 | -768,413 |
Let's try dividing by 4:
768,413 ÷ 4 = 192,103.25
If the quotient is a whole number, then 4 and 192,103.25 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 | 768,413 | |
-1 | 768,413 |
If you did it right, you will end up with this table:
1 | 29 | 26,497 | 768,413 |
-1 | -29 | -26,497 | -768,413 |
Here are some more numbers to try:
Try the factor calculator