Q: What are the factor combinations of the number 72,239?
A:
Positive:
1 x 7223929 x 249147 x 153753 x 1363
Negative:
-1 x -72239-29 x -2491-47 x -1537-53 x -1363
A:
Positive:
1 x 7223929 x 249147 x 153753 x 1363
Negative:
-1 x -72239-29 x -2491-47 x -1537-53 x -1363
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 72,239, 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 | 72,239 | |
-1 | -72,239 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 72,239.
Example:
1 x 72,239 = 72,239
and
-1 x -72,239 = 72,239
Notice both answers equal 72,239
With that explanation out of the way, let's continue. Next, we take the number 72,239 and divide it by 2:
72,239 ÷ 2 = 36,119.5
If the quotient is a whole number, then 2 and 36,119.5 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 | 72,239 | |
-1 | -72,239 |
Now, we try dividing 72,239 by 3:
72,239 ÷ 3 = 24,079.6667
If the quotient is a whole number, then 3 and 24,079.6667 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 | 72,239 | |
-1 | -72,239 |
Let's try dividing by 4:
72,239 ÷ 4 = 18,059.75
If the quotient is a whole number, then 4 and 18,059.75 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 | 72,239 | |
-1 | 72,239 |
If you did it right, you will end up with this table:
1 | 29 | 47 | 53 | 1,363 | 1,537 | 2,491 | 72,239 |
-1 | -29 | -47 | -53 | -1,363 | -1,537 | -2,491 | -72,239 |
Here are some more numbers to try:
Try the factor calculator