Q: What are the factor combinations of the number 72,415?
A:
Positive:
1 x 724155 x 144837 x 1034535 x 2069
Negative:
-1 x -72415-5 x -14483-7 x -10345-35 x -2069
A:
Positive:
1 x 724155 x 144837 x 1034535 x 2069
Negative:
-1 x -72415-5 x -14483-7 x -10345-35 x -2069
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 72,415, 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 | 72,415 | |
-1 | -72,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 72,415.
Example:
1 x 72,415 = 72,415
and
-1 x -72,415 = 72,415
Notice both answers equal 72,415
With that explanation out of the way, let's continue. Next, we take the number 72,415 and divide it by 2:
72,415 ÷ 2 = 36,207.5
If the quotient is a whole number, then 2 and 36,207.5 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 | 72,415 | |
-1 | -72,415 |
Now, we try dividing 72,415 by 3:
72,415 ÷ 3 = 24,138.3333
If the quotient is a whole number, then 3 and 24,138.3333 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 | 72,415 | |
-1 | -72,415 |
Let's try dividing by 4:
72,415 ÷ 4 = 18,103.75
If the quotient is a whole number, then 4 and 18,103.75 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 | 72,415 | |
-1 | 72,415 |
If you did it right, you will end up with this table:
1 | 5 | 7 | 35 | 2,069 | 10,345 | 14,483 | 72,415 |
-1 | -5 | -7 | -35 | -2,069 | -10,345 | -14,483 | -72,415 |
Here are some more numbers to try:
Try the factor calculator