Q: What are the factor combinations of the number 101,275?
A:
Positive:
1 x 1012755 x 2025525 x 4051
Negative:
-1 x -101275-5 x -20255-25 x -4051
A:
Positive:
1 x 1012755 x 2025525 x 4051
Negative:
-1 x -101275-5 x -20255-25 x -4051
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 101,275, 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 | 101,275 | |
-1 | -101,275 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,275.
Example:
1 x 101,275 = 101,275
and
-1 x -101,275 = 101,275
Notice both answers equal 101,275
With that explanation out of the way, let's continue. Next, we take the number 101,275 and divide it by 2:
101,275 ÷ 2 = 50,637.5
If the quotient is a whole number, then 2 and 50,637.5 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 | 101,275 | |
-1 | -101,275 |
Now, we try dividing 101,275 by 3:
101,275 ÷ 3 = 33,758.3333
If the quotient is a whole number, then 3 and 33,758.3333 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 | 101,275 | |
-1 | -101,275 |
Let's try dividing by 4:
101,275 ÷ 4 = 25,318.75
If the quotient is a whole number, then 4 and 25,318.75 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 | 101,275 | |
-1 | 101,275 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 4,051 | 20,255 | 101,275 |
-1 | -5 | -25 | -4,051 | -20,255 | -101,275 |
Here are some more numbers to try:
Try the factor calculator