Q: What are the factor combinations of the number 75,107?
A:
Positive:
1 x 7510719 x 395359 x 127367 x 1121
Negative:
-1 x -75107-19 x -3953-59 x -1273-67 x -1121
A:
Positive:
1 x 7510719 x 395359 x 127367 x 1121
Negative:
-1 x -75107-19 x -3953-59 x -1273-67 x -1121
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 75,107, 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 | 75,107 | |
-1 | -75,107 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 75,107.
Example:
1 x 75,107 = 75,107
and
-1 x -75,107 = 75,107
Notice both answers equal 75,107
With that explanation out of the way, let's continue. Next, we take the number 75,107 and divide it by 2:
75,107 ÷ 2 = 37,553.5
If the quotient is a whole number, then 2 and 37,553.5 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 | 75,107 | |
-1 | -75,107 |
Now, we try dividing 75,107 by 3:
75,107 ÷ 3 = 25,035.6667
If the quotient is a whole number, then 3 and 25,035.6667 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 | 75,107 | |
-1 | -75,107 |
Let's try dividing by 4:
75,107 ÷ 4 = 18,776.75
If the quotient is a whole number, then 4 and 18,776.75 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 | 75,107 | |
-1 | 75,107 |
If you did it right, you will end up with this table:
1 | 19 | 59 | 67 | 1,121 | 1,273 | 3,953 | 75,107 |
-1 | -19 | -59 | -67 | -1,121 | -1,273 | -3,953 | -75,107 |
Here are some more numbers to try:
Try the factor calculator