Q: What are the factor combinations of the number 75,485?
A:
Positive:
1 x 754855 x 1509731 x 2435155 x 487
Negative:
-1 x -75485-5 x -15097-31 x -2435-155 x -487
A:
Positive:
1 x 754855 x 1509731 x 2435155 x 487
Negative:
-1 x -75485-5 x -15097-31 x -2435-155 x -487
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 75,485, 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 | 75,485 | |
-1 | -75,485 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 75,485.
Example:
1 x 75,485 = 75,485
and
-1 x -75,485 = 75,485
Notice both answers equal 75,485
With that explanation out of the way, let's continue. Next, we take the number 75,485 and divide it by 2:
75,485 ÷ 2 = 37,742.5
If the quotient is a whole number, then 2 and 37,742.5 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 | 75,485 | |
-1 | -75,485 |
Now, we try dividing 75,485 by 3:
75,485 ÷ 3 = 25,161.6667
If the quotient is a whole number, then 3 and 25,161.6667 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 | 75,485 | |
-1 | -75,485 |
Let's try dividing by 4:
75,485 ÷ 4 = 18,871.25
If the quotient is a whole number, then 4 and 18,871.25 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 | 75,485 | |
-1 | 75,485 |
If you did it right, you will end up with this table:
1 | 5 | 31 | 155 | 487 | 2,435 | 15,097 | 75,485 |
-1 | -5 | -31 | -155 | -487 | -2,435 | -15,097 | -75,485 |
Here are some more numbers to try:
Try the factor calculator