Q: What are the factor combinations of the number 52,405?
A:
Positive:
1 x 524055 x 1048147 x 1115223 x 235
Negative:
-1 x -52405-5 x -10481-47 x -1115-223 x -235
A:
Positive:
1 x 524055 x 1048147 x 1115223 x 235
Negative:
-1 x -52405-5 x -10481-47 x -1115-223 x -235
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 52,405, 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 | 52,405 | |
-1 | -52,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 52,405.
Example:
1 x 52,405 = 52,405
and
-1 x -52,405 = 52,405
Notice both answers equal 52,405
With that explanation out of the way, let's continue. Next, we take the number 52,405 and divide it by 2:
52,405 ÷ 2 = 26,202.5
If the quotient is a whole number, then 2 and 26,202.5 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 | 52,405 | |
-1 | -52,405 |
Now, we try dividing 52,405 by 3:
52,405 ÷ 3 = 17,468.3333
If the quotient is a whole number, then 3 and 17,468.3333 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 | 52,405 | |
-1 | -52,405 |
Let's try dividing by 4:
52,405 ÷ 4 = 13,101.25
If the quotient is a whole number, then 4 and 13,101.25 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 | 52,405 | |
-1 | 52,405 |
If you did it right, you will end up with this table:
1 | 5 | 47 | 223 | 235 | 1,115 | 10,481 | 52,405 |
-1 | -5 | -47 | -223 | -235 | -1,115 | -10,481 | -52,405 |
Here are some more numbers to try:
Try the factor calculator