Q: What are the factor combinations of the number 672,083?
A:
Positive:
1 x 67208323 x 29221
Negative:
-1 x -672083-23 x -29221
A:
Positive:
1 x 67208323 x 29221
Negative:
-1 x -672083-23 x -29221
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 672,083, 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 | 672,083 | |
-1 | -672,083 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 672,083.
Example:
1 x 672,083 = 672,083
and
-1 x -672,083 = 672,083
Notice both answers equal 672,083
With that explanation out of the way, let's continue. Next, we take the number 672,083 and divide it by 2:
672,083 ÷ 2 = 336,041.5
If the quotient is a whole number, then 2 and 336,041.5 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 | 672,083 | |
-1 | -672,083 |
Now, we try dividing 672,083 by 3:
672,083 ÷ 3 = 224,027.6667
If the quotient is a whole number, then 3 and 224,027.6667 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 | 672,083 | |
-1 | -672,083 |
Let's try dividing by 4:
672,083 ÷ 4 = 168,020.75
If the quotient is a whole number, then 4 and 168,020.75 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 | 672,083 | |
-1 | 672,083 |
If you did it right, you will end up with this table:
1 | 23 | 29,221 | 672,083 |
-1 | -23 | -29,221 | -672,083 |
Here are some more numbers to try:
Try the factor calculator