Q: What are the factor combinations of the number 83,011?
A:
Positive:
1 x 8301117 x 488319 x 4369257 x 323
Negative:
-1 x -83011-17 x -4883-19 x -4369-257 x -323
A:
Positive:
1 x 8301117 x 488319 x 4369257 x 323
Negative:
-1 x -83011-17 x -4883-19 x -4369-257 x -323
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 83,011, 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 | 83,011 | |
-1 | -83,011 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 83,011.
Example:
1 x 83,011 = 83,011
and
-1 x -83,011 = 83,011
Notice both answers equal 83,011
With that explanation out of the way, let's continue. Next, we take the number 83,011 and divide it by 2:
83,011 ÷ 2 = 41,505.5
If the quotient is a whole number, then 2 and 41,505.5 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 | 83,011 | |
-1 | -83,011 |
Now, we try dividing 83,011 by 3:
83,011 ÷ 3 = 27,670.3333
If the quotient is a whole number, then 3 and 27,670.3333 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 | 83,011 | |
-1 | -83,011 |
Let's try dividing by 4:
83,011 ÷ 4 = 20,752.75
If the quotient is a whole number, then 4 and 20,752.75 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 | 83,011 | |
-1 | 83,011 |
If you did it right, you will end up with this table:
1 | 17 | 19 | 257 | 323 | 4,369 | 4,883 | 83,011 |
-1 | -17 | -19 | -257 | -323 | -4,369 | -4,883 | -83,011 |
Here are some more numbers to try:
Try the factor calculator