Q: What are the factor combinations of the number 79,945?
A:
Positive:
1 x 799455 x 1598959 x 1355271 x 295
Negative:
-1 x -79945-5 x -15989-59 x -1355-271 x -295
A:
Positive:
1 x 799455 x 1598959 x 1355271 x 295
Negative:
-1 x -79945-5 x -15989-59 x -1355-271 x -295
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 79,945, 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 | 79,945 | |
-1 | -79,945 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 79,945.
Example:
1 x 79,945 = 79,945
and
-1 x -79,945 = 79,945
Notice both answers equal 79,945
With that explanation out of the way, let's continue. Next, we take the number 79,945 and divide it by 2:
79,945 ÷ 2 = 39,972.5
If the quotient is a whole number, then 2 and 39,972.5 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 | 79,945 | |
-1 | -79,945 |
Now, we try dividing 79,945 by 3:
79,945 ÷ 3 = 26,648.3333
If the quotient is a whole number, then 3 and 26,648.3333 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 | 79,945 | |
-1 | -79,945 |
Let's try dividing by 4:
79,945 ÷ 4 = 19,986.25
If the quotient is a whole number, then 4 and 19,986.25 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 | 79,945 | |
-1 | 79,945 |
If you did it right, you will end up with this table:
1 | 5 | 59 | 271 | 295 | 1,355 | 15,989 | 79,945 |
-1 | -5 | -59 | -271 | -295 | -1,355 | -15,989 | -79,945 |
Here are some more numbers to try:
Try the factor calculator