Q: What are the factor combinations of the number 98,165?
A:
Positive:
1 x 981655 x 1963329 x 3385145 x 677
Negative:
-1 x -98165-5 x -19633-29 x -3385-145 x -677
A:
Positive:
1 x 981655 x 1963329 x 3385145 x 677
Negative:
-1 x -98165-5 x -19633-29 x -3385-145 x -677
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 98,165, 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 | 98,165 | |
-1 | -98,165 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 98,165.
Example:
1 x 98,165 = 98,165
and
-1 x -98,165 = 98,165
Notice both answers equal 98,165
With that explanation out of the way, let's continue. Next, we take the number 98,165 and divide it by 2:
98,165 ÷ 2 = 49,082.5
If the quotient is a whole number, then 2 and 49,082.5 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 | 98,165 | |
-1 | -98,165 |
Now, we try dividing 98,165 by 3:
98,165 ÷ 3 = 32,721.6667
If the quotient is a whole number, then 3 and 32,721.6667 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 | 98,165 | |
-1 | -98,165 |
Let's try dividing by 4:
98,165 ÷ 4 = 24,541.25
If the quotient is a whole number, then 4 and 24,541.25 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 | 98,165 | |
-1 | 98,165 |
If you did it right, you will end up with this table:
1 | 5 | 29 | 145 | 677 | 3,385 | 19,633 | 98,165 |
-1 | -5 | -29 | -145 | -677 | -3,385 | -19,633 | -98,165 |
Here are some more numbers to try:
Try the factor calculator