Q: What are the factor combinations of the number 98,075?
A:
Positive:
1 x 980755 x 1961525 x 3923
Negative:
-1 x -98075-5 x -19615-25 x -3923
A:
Positive:
1 x 980755 x 1961525 x 3923
Negative:
-1 x -98075-5 x -19615-25 x -3923
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 98,075, 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 | 98,075 | |
-1 | -98,075 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 98,075.
Example:
1 x 98,075 = 98,075
and
-1 x -98,075 = 98,075
Notice both answers equal 98,075
With that explanation out of the way, let's continue. Next, we take the number 98,075 and divide it by 2:
98,075 ÷ 2 = 49,037.5
If the quotient is a whole number, then 2 and 49,037.5 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 | 98,075 | |
-1 | -98,075 |
Now, we try dividing 98,075 by 3:
98,075 ÷ 3 = 32,691.6667
If the quotient is a whole number, then 3 and 32,691.6667 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 | 98,075 | |
-1 | -98,075 |
Let's try dividing by 4:
98,075 ÷ 4 = 24,518.75
If the quotient is a whole number, then 4 and 24,518.75 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 | 98,075 | |
-1 | 98,075 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 3,923 | 19,615 | 98,075 |
-1 | -5 | -25 | -3,923 | -19,615 | -98,075 |
Here are some more numbers to try:
Try the factor calculator