Q: What are the factor combinations of the number 72,293?
A:
Positive:
1 x 7229313 x 556167 x 107983 x 871
Negative:
-1 x -72293-13 x -5561-67 x -1079-83 x -871
A:
Positive:
1 x 7229313 x 556167 x 107983 x 871
Negative:
-1 x -72293-13 x -5561-67 x -1079-83 x -871
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 72,293, 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 | 72,293 | |
-1 | -72,293 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 72,293.
Example:
1 x 72,293 = 72,293
and
-1 x -72,293 = 72,293
Notice both answers equal 72,293
With that explanation out of the way, let's continue. Next, we take the number 72,293 and divide it by 2:
72,293 ÷ 2 = 36,146.5
If the quotient is a whole number, then 2 and 36,146.5 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 | 72,293 | |
-1 | -72,293 |
Now, we try dividing 72,293 by 3:
72,293 ÷ 3 = 24,097.6667
If the quotient is a whole number, then 3 and 24,097.6667 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 | 72,293 | |
-1 | -72,293 |
Let's try dividing by 4:
72,293 ÷ 4 = 18,073.25
If the quotient is a whole number, then 4 and 18,073.25 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 | 72,293 | |
-1 | 72,293 |
If you did it right, you will end up with this table:
1 | 13 | 67 | 83 | 871 | 1,079 | 5,561 | 72,293 |
-1 | -13 | -67 | -83 | -871 | -1,079 | -5,561 | -72,293 |
Here are some more numbers to try:
Try the factor calculator