Q: What are the factor combinations of the number 98,195?
A:
Positive:
1 x 981955 x 1963941 x 2395205 x 479
Negative:
-1 x -98195-5 x -19639-41 x -2395-205 x -479
A:
Positive:
1 x 981955 x 1963941 x 2395205 x 479
Negative:
-1 x -98195-5 x -19639-41 x -2395-205 x -479
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 98,195, 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 | 98,195 | |
-1 | -98,195 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 98,195.
Example:
1 x 98,195 = 98,195
and
-1 x -98,195 = 98,195
Notice both answers equal 98,195
With that explanation out of the way, let's continue. Next, we take the number 98,195 and divide it by 2:
98,195 ÷ 2 = 49,097.5
If the quotient is a whole number, then 2 and 49,097.5 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 | 98,195 | |
-1 | -98,195 |
Now, we try dividing 98,195 by 3:
98,195 ÷ 3 = 32,731.6667
If the quotient is a whole number, then 3 and 32,731.6667 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 | 98,195 | |
-1 | -98,195 |
Let's try dividing by 4:
98,195 ÷ 4 = 24,548.75
If the quotient is a whole number, then 4 and 24,548.75 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 | 98,195 | |
-1 | 98,195 |
If you did it right, you will end up with this table:
1 | 5 | 41 | 205 | 479 | 2,395 | 19,639 | 98,195 |
-1 | -5 | -41 | -205 | -479 | -2,395 | -19,639 | -98,195 |
Here are some more numbers to try:
Try the factor calculator