Q: What are the factor combinations of the number 72,941?
A:
Positive:
1 x 7294111 x 663119 x 3839209 x 349
Negative:
-1 x -72941-11 x -6631-19 x -3839-209 x -349
A:
Positive:
1 x 7294111 x 663119 x 3839209 x 349
Negative:
-1 x -72941-11 x -6631-19 x -3839-209 x -349
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 72,941, 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 | 72,941 | |
-1 | -72,941 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 72,941.
Example:
1 x 72,941 = 72,941
and
-1 x -72,941 = 72,941
Notice both answers equal 72,941
With that explanation out of the way, let's continue. Next, we take the number 72,941 and divide it by 2:
72,941 ÷ 2 = 36,470.5
If the quotient is a whole number, then 2 and 36,470.5 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 | 72,941 | |
-1 | -72,941 |
Now, we try dividing 72,941 by 3:
72,941 ÷ 3 = 24,313.6667
If the quotient is a whole number, then 3 and 24,313.6667 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 | 72,941 | |
-1 | -72,941 |
Let's try dividing by 4:
72,941 ÷ 4 = 18,235.25
If the quotient is a whole number, then 4 and 18,235.25 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 | 72,941 | |
-1 | 72,941 |
If you did it right, you will end up with this table:
1 | 11 | 19 | 209 | 349 | 3,839 | 6,631 | 72,941 |
-1 | -11 | -19 | -209 | -349 | -3,839 | -6,631 | -72,941 |
Here are some more numbers to try:
Try the factor calculator