Q: What are the factor combinations of the number 52,255?
A:
Positive:
1 x 522555 x 104517 x 746535 x 1493
Negative:
-1 x -52255-5 x -10451-7 x -7465-35 x -1493
A:
Positive:
1 x 522555 x 104517 x 746535 x 1493
Negative:
-1 x -52255-5 x -10451-7 x -7465-35 x -1493
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 52,255, 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 | 52,255 | |
-1 | -52,255 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 52,255.
Example:
1 x 52,255 = 52,255
and
-1 x -52,255 = 52,255
Notice both answers equal 52,255
With that explanation out of the way, let's continue. Next, we take the number 52,255 and divide it by 2:
52,255 ÷ 2 = 26,127.5
If the quotient is a whole number, then 2 and 26,127.5 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 | 52,255 | |
-1 | -52,255 |
Now, we try dividing 52,255 by 3:
52,255 ÷ 3 = 17,418.3333
If the quotient is a whole number, then 3 and 17,418.3333 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 | 52,255 | |
-1 | -52,255 |
Let's try dividing by 4:
52,255 ÷ 4 = 13,063.75
If the quotient is a whole number, then 4 and 13,063.75 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 | 52,255 | |
-1 | 52,255 |
If you did it right, you will end up with this table:
1 | 5 | 7 | 35 | 1,493 | 7,465 | 10,451 | 52,255 |
-1 | -5 | -7 | -35 | -1,493 | -7,465 | -10,451 | -52,255 |
Here are some more numbers to try:
Try the factor calculator