Q: What are the factor combinations of the number 78,397?
A:
Positive:
1 x 7839711 x 7127
Negative:
-1 x -78397-11 x -7127
A:
Positive:
1 x 7839711 x 7127
Negative:
-1 x -78397-11 x -7127
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 78,397, 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 | 78,397 | |
-1 | -78,397 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 78,397.
Example:
1 x 78,397 = 78,397
and
-1 x -78,397 = 78,397
Notice both answers equal 78,397
With that explanation out of the way, let's continue. Next, we take the number 78,397 and divide it by 2:
78,397 ÷ 2 = 39,198.5
If the quotient is a whole number, then 2 and 39,198.5 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 | 78,397 | |
-1 | -78,397 |
Now, we try dividing 78,397 by 3:
78,397 ÷ 3 = 26,132.3333
If the quotient is a whole number, then 3 and 26,132.3333 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 | 78,397 | |
-1 | -78,397 |
Let's try dividing by 4:
78,397 ÷ 4 = 19,599.25
If the quotient is a whole number, then 4 and 19,599.25 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 | 78,397 | |
-1 | 78,397 |
If you did it right, you will end up with this table:
1 | 11 | 7,127 | 78,397 |
-1 | -11 | -7,127 | -78,397 |
Here are some more numbers to try:
Try the factor calculator