Q: What are the factor combinations of the number 72,095?
A:
Positive:
1 x 720955 x 14419
Negative:
-1 x -72095-5 x -14419
A:
Positive:
1 x 720955 x 14419
Negative:
-1 x -72095-5 x -14419
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 72,095, 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 | 72,095 | |
-1 | -72,095 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 72,095.
Example:
1 x 72,095 = 72,095
and
-1 x -72,095 = 72,095
Notice both answers equal 72,095
With that explanation out of the way, let's continue. Next, we take the number 72,095 and divide it by 2:
72,095 ÷ 2 = 36,047.5
If the quotient is a whole number, then 2 and 36,047.5 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 | 72,095 | |
-1 | -72,095 |
Now, we try dividing 72,095 by 3:
72,095 ÷ 3 = 24,031.6667
If the quotient is a whole number, then 3 and 24,031.6667 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 | 72,095 | |
-1 | -72,095 |
Let's try dividing by 4:
72,095 ÷ 4 = 18,023.75
If the quotient is a whole number, then 4 and 18,023.75 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 | 72,095 | |
-1 | 72,095 |
If you did it right, you will end up with this table:
1 | 5 | 14,419 | 72,095 |
-1 | -5 | -14,419 | -72,095 |
Here are some more numbers to try:
Try the factor calculator