Q: What are the factor combinations of the number 283,367?
A:
Positive:
1 x 2833677 x 4048149 x 5783
Negative:
-1 x -283367-7 x -40481-49 x -5783
A:
Positive:
1 x 2833677 x 4048149 x 5783
Negative:
-1 x -283367-7 x -40481-49 x -5783
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 283,367, 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 | 283,367 | |
-1 | -283,367 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 283,367.
Example:
1 x 283,367 = 283,367
and
-1 x -283,367 = 283,367
Notice both answers equal 283,367
With that explanation out of the way, let's continue. Next, we take the number 283,367 and divide it by 2:
283,367 ÷ 2 = 141,683.5
If the quotient is a whole number, then 2 and 141,683.5 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 | 283,367 | |
-1 | -283,367 |
Now, we try dividing 283,367 by 3:
283,367 ÷ 3 = 94,455.6667
If the quotient is a whole number, then 3 and 94,455.6667 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 | 283,367 | |
-1 | -283,367 |
Let's try dividing by 4:
283,367 ÷ 4 = 70,841.75
If the quotient is a whole number, then 4 and 70,841.75 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 | 283,367 | |
-1 | 283,367 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 5,783 | 40,481 | 283,367 |
-1 | -7 | -49 | -5,783 | -40,481 | -283,367 |
Here are some more numbers to try:
Try the factor calculator