Q: What are the factor combinations of the number 78,815?
A:
Positive:
1 x 788155 x 1576311 x 716555 x 1433
Negative:
-1 x -78815-5 x -15763-11 x -7165-55 x -1433
A:
Positive:
1 x 788155 x 1576311 x 716555 x 1433
Negative:
-1 x -78815-5 x -15763-11 x -7165-55 x -1433
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 78,815, 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 | 78,815 | |
-1 | -78,815 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 78,815.
Example:
1 x 78,815 = 78,815
and
-1 x -78,815 = 78,815
Notice both answers equal 78,815
With that explanation out of the way, let's continue. Next, we take the number 78,815 and divide it by 2:
78,815 ÷ 2 = 39,407.5
If the quotient is a whole number, then 2 and 39,407.5 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 | 78,815 | |
-1 | -78,815 |
Now, we try dividing 78,815 by 3:
78,815 ÷ 3 = 26,271.6667
If the quotient is a whole number, then 3 and 26,271.6667 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 | 78,815 | |
-1 | -78,815 |
Let's try dividing by 4:
78,815 ÷ 4 = 19,703.75
If the quotient is a whole number, then 4 and 19,703.75 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 | 78,815 | |
-1 | 78,815 |
If you did it right, you will end up with this table:
1 | 5 | 11 | 55 | 1,433 | 7,165 | 15,763 | 78,815 |
-1 | -5 | -11 | -55 | -1,433 | -7,165 | -15,763 | -78,815 |
Here are some more numbers to try:
Try the factor calculator