Q: What are the factor combinations of the number 730,043?
A:
Positive:
1 x 73004323 x 31741
Negative:
-1 x -730043-23 x -31741
A:
Positive:
1 x 73004323 x 31741
Negative:
-1 x -730043-23 x -31741
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 730,043, 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 | 730,043 | |
-1 | -730,043 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 730,043.
Example:
1 x 730,043 = 730,043
and
-1 x -730,043 = 730,043
Notice both answers equal 730,043
With that explanation out of the way, let's continue. Next, we take the number 730,043 and divide it by 2:
730,043 ÷ 2 = 365,021.5
If the quotient is a whole number, then 2 and 365,021.5 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 | 730,043 | |
-1 | -730,043 |
Now, we try dividing 730,043 by 3:
730,043 ÷ 3 = 243,347.6667
If the quotient is a whole number, then 3 and 243,347.6667 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 | 730,043 | |
-1 | -730,043 |
Let's try dividing by 4:
730,043 ÷ 4 = 182,510.75
If the quotient is a whole number, then 4 and 182,510.75 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 | 730,043 | |
-1 | 730,043 |
If you did it right, you will end up with this table:
1 | 23 | 31,741 | 730,043 |
-1 | -23 | -31,741 | -730,043 |
Here are some more numbers to try:
Try the factor calculator