Q: What are the factor combinations of the number 75,031?
A:
Positive:
1 x 7503111 x 682119 x 3949209 x 359
Negative:
-1 x -75031-11 x -6821-19 x -3949-209 x -359
A:
Positive:
1 x 7503111 x 682119 x 3949209 x 359
Negative:
-1 x -75031-11 x -6821-19 x -3949-209 x -359
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 75,031, 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 | 75,031 | |
-1 | -75,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 75,031.
Example:
1 x 75,031 = 75,031
and
-1 x -75,031 = 75,031
Notice both answers equal 75,031
With that explanation out of the way, let's continue. Next, we take the number 75,031 and divide it by 2:
75,031 ÷ 2 = 37,515.5
If the quotient is a whole number, then 2 and 37,515.5 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 | 75,031 | |
-1 | -75,031 |
Now, we try dividing 75,031 by 3:
75,031 ÷ 3 = 25,010.3333
If the quotient is a whole number, then 3 and 25,010.3333 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 | 75,031 | |
-1 | -75,031 |
Let's try dividing by 4:
75,031 ÷ 4 = 18,757.75
If the quotient is a whole number, then 4 and 18,757.75 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 | 75,031 | |
-1 | 75,031 |
If you did it right, you will end up with this table:
1 | 11 | 19 | 209 | 359 | 3,949 | 6,821 | 75,031 |
-1 | -11 | -19 | -209 | -359 | -3,949 | -6,821 | -75,031 |
Here are some more numbers to try:
Try the factor calculator