Q: What are the factor combinations of the number 77,815?
A:
Positive:
1 x 778155 x 1556379 x 985197 x 395
Negative:
-1 x -77815-5 x -15563-79 x -985-197 x -395
A:
Positive:
1 x 778155 x 1556379 x 985197 x 395
Negative:
-1 x -77815-5 x -15563-79 x -985-197 x -395
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 77,815, 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 | 77,815 | |
-1 | -77,815 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 77,815.
Example:
1 x 77,815 = 77,815
and
-1 x -77,815 = 77,815
Notice both answers equal 77,815
With that explanation out of the way, let's continue. Next, we take the number 77,815 and divide it by 2:
77,815 ÷ 2 = 38,907.5
If the quotient is a whole number, then 2 and 38,907.5 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 | 77,815 | |
-1 | -77,815 |
Now, we try dividing 77,815 by 3:
77,815 ÷ 3 = 25,938.3333
If the quotient is a whole number, then 3 and 25,938.3333 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 | 77,815 | |
-1 | -77,815 |
Let's try dividing by 4:
77,815 ÷ 4 = 19,453.75
If the quotient is a whole number, then 4 and 19,453.75 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 | 77,815 | |
-1 | 77,815 |
If you did it right, you will end up with this table:
1 | 5 | 79 | 197 | 395 | 985 | 15,563 | 77,815 |
-1 | -5 | -79 | -197 | -395 | -985 | -15,563 | -77,815 |
Here are some more numbers to try:
Try the factor calculator