Q: What are the factor combinations of the number 72,007?
A:
Positive:
1 x 7200713 x 553929 x 2483191 x 377
Negative:
-1 x -72007-13 x -5539-29 x -2483-191 x -377
A:
Positive:
1 x 7200713 x 553929 x 2483191 x 377
Negative:
-1 x -72007-13 x -5539-29 x -2483-191 x -377
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 72,007, 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 | 72,007 | |
-1 | -72,007 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 72,007.
Example:
1 x 72,007 = 72,007
and
-1 x -72,007 = 72,007
Notice both answers equal 72,007
With that explanation out of the way, let's continue. Next, we take the number 72,007 and divide it by 2:
72,007 ÷ 2 = 36,003.5
If the quotient is a whole number, then 2 and 36,003.5 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 | 72,007 | |
-1 | -72,007 |
Now, we try dividing 72,007 by 3:
72,007 ÷ 3 = 24,002.3333
If the quotient is a whole number, then 3 and 24,002.3333 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 | 72,007 | |
-1 | -72,007 |
Let's try dividing by 4:
72,007 ÷ 4 = 18,001.75
If the quotient is a whole number, then 4 and 18,001.75 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 | 72,007 | |
-1 | 72,007 |
If you did it right, you will end up with this table:
1 | 13 | 29 | 191 | 377 | 2,483 | 5,539 | 72,007 |
-1 | -13 | -29 | -191 | -377 | -2,483 | -5,539 | -72,007 |
Here are some more numbers to try:
Try the factor calculator