Q: What are the factor combinations of the number 83,353?
A:
Positive:
1 x 8335319 x 438741 x 2033107 x 779
Negative:
-1 x -83353-19 x -4387-41 x -2033-107 x -779
A:
Positive:
1 x 8335319 x 438741 x 2033107 x 779
Negative:
-1 x -83353-19 x -4387-41 x -2033-107 x -779
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 83,353, 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 | 83,353 | |
-1 | -83,353 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 83,353.
Example:
1 x 83,353 = 83,353
and
-1 x -83,353 = 83,353
Notice both answers equal 83,353
With that explanation out of the way, let's continue. Next, we take the number 83,353 and divide it by 2:
83,353 ÷ 2 = 41,676.5
If the quotient is a whole number, then 2 and 41,676.5 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 | 83,353 | |
-1 | -83,353 |
Now, we try dividing 83,353 by 3:
83,353 ÷ 3 = 27,784.3333
If the quotient is a whole number, then 3 and 27,784.3333 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 | 83,353 | |
-1 | -83,353 |
Let's try dividing by 4:
83,353 ÷ 4 = 20,838.25
If the quotient is a whole number, then 4 and 20,838.25 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 | 83,353 | |
-1 | 83,353 |
If you did it right, you will end up with this table:
1 | 19 | 41 | 107 | 779 | 2,033 | 4,387 | 83,353 |
-1 | -19 | -41 | -107 | -779 | -2,033 | -4,387 | -83,353 |
Here are some more numbers to try:
Try the factor calculator