Q: What are the factor combinations of the number 58,007?
A:
Positive:
1 x 5800719 x 305343 x 134971 x 817
Negative:
-1 x -58007-19 x -3053-43 x -1349-71 x -817
A:
Positive:
1 x 5800719 x 305343 x 134971 x 817
Negative:
-1 x -58007-19 x -3053-43 x -1349-71 x -817
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 58,007, 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 | 58,007 | |
-1 | -58,007 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 58,007.
Example:
1 x 58,007 = 58,007
and
-1 x -58,007 = 58,007
Notice both answers equal 58,007
With that explanation out of the way, let's continue. Next, we take the number 58,007 and divide it by 2:
58,007 ÷ 2 = 29,003.5
If the quotient is a whole number, then 2 and 29,003.5 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 | 58,007 | |
-1 | -58,007 |
Now, we try dividing 58,007 by 3:
58,007 ÷ 3 = 19,335.6667
If the quotient is a whole number, then 3 and 19,335.6667 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 | 58,007 | |
-1 | -58,007 |
Let's try dividing by 4:
58,007 ÷ 4 = 14,501.75
If the quotient is a whole number, then 4 and 14,501.75 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 | 58,007 | |
-1 | 58,007 |
If you did it right, you will end up with this table:
1 | 19 | 43 | 71 | 817 | 1,349 | 3,053 | 58,007 |
-1 | -19 | -43 | -71 | -817 | -1,349 | -3,053 | -58,007 |
Here are some more numbers to try:
Try the factor calculator