Q: What are the factor combinations of the number 77,375?
A:
Positive:
1 x 773755 x 1547525 x 3095125 x 619
Negative:
-1 x -77375-5 x -15475-25 x -3095-125 x -619
A:
Positive:
1 x 773755 x 1547525 x 3095125 x 619
Negative:
-1 x -77375-5 x -15475-25 x -3095-125 x -619
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 77,375, 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 | 77,375 | |
-1 | -77,375 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 77,375.
Example:
1 x 77,375 = 77,375
and
-1 x -77,375 = 77,375
Notice both answers equal 77,375
With that explanation out of the way, let's continue. Next, we take the number 77,375 and divide it by 2:
77,375 ÷ 2 = 38,687.5
If the quotient is a whole number, then 2 and 38,687.5 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 | 77,375 | |
-1 | -77,375 |
Now, we try dividing 77,375 by 3:
77,375 ÷ 3 = 25,791.6667
If the quotient is a whole number, then 3 and 25,791.6667 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 | 77,375 | |
-1 | -77,375 |
Let's try dividing by 4:
77,375 ÷ 4 = 19,343.75
If the quotient is a whole number, then 4 and 19,343.75 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 | 77,375 | |
-1 | 77,375 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 125 | 619 | 3,095 | 15,475 | 77,375 |
-1 | -5 | -25 | -125 | -619 | -3,095 | -15,475 | -77,375 |
Here are some more numbers to try:
Try the factor calculator