Q: What are the factor combinations of the number 58,115?
A:
Positive:
1 x 581155 x 1162359 x 985197 x 295
Negative:
-1 x -58115-5 x -11623-59 x -985-197 x -295
A:
Positive:
1 x 581155 x 1162359 x 985197 x 295
Negative:
-1 x -58115-5 x -11623-59 x -985-197 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 58,115, 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 | 58,115 | |
-1 | -58,115 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 58,115.
Example:
1 x 58,115 = 58,115
and
-1 x -58,115 = 58,115
Notice both answers equal 58,115
With that explanation out of the way, let's continue. Next, we take the number 58,115 and divide it by 2:
58,115 ÷ 2 = 29,057.5
If the quotient is a whole number, then 2 and 29,057.5 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 | 58,115 | |
-1 | -58,115 |
Now, we try dividing 58,115 by 3:
58,115 ÷ 3 = 19,371.6667
If the quotient is a whole number, then 3 and 19,371.6667 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 | 58,115 | |
-1 | -58,115 |
Let's try dividing by 4:
58,115 ÷ 4 = 14,528.75
If the quotient is a whole number, then 4 and 14,528.75 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 | 58,115 | |
-1 | 58,115 |
If you did it right, you will end up with this table:
1 | 5 | 59 | 197 | 295 | 985 | 11,623 | 58,115 |
-1 | -5 | -59 | -197 | -295 | -985 | -11,623 | -58,115 |
Here are some more numbers to try:
Try the factor calculator