Q: What are the factor combinations of the number 5,275?
A:
Positive:
1 x 52755 x 105525 x 211
Negative:
-1 x -5275-5 x -1055-25 x -211
A:
Positive:
1 x 52755 x 105525 x 211
Negative:
-1 x -5275-5 x -1055-25 x -211
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 5,275, 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 | 5,275 | |
-1 | -5,275 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 5,275.
Example:
1 x 5,275 = 5,275
and
-1 x -5,275 = 5,275
Notice both answers equal 5,275
With that explanation out of the way, let's continue. Next, we take the number 5,275 and divide it by 2:
5,275 ÷ 2 = 2,637.5
If the quotient is a whole number, then 2 and 2,637.5 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 | 5,275 | |
-1 | -5,275 |
Now, we try dividing 5,275 by 3:
5,275 ÷ 3 = 1,758.3333
If the quotient is a whole number, then 3 and 1,758.3333 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 | 5,275 | |
-1 | -5,275 |
Let's try dividing by 4:
5,275 ÷ 4 = 1,318.75
If the quotient is a whole number, then 4 and 1,318.75 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 | 5,275 | |
-1 | 5,275 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 211 | 1,055 | 5,275 |
-1 | -5 | -25 | -211 | -1,055 | -5,275 |
Here are some more numbers to try:
Try the factor calculator