Q: What are the factor combinations of the number 522,103?
A:
Positive:
1 x 52210353 x 9851
Negative:
-1 x -522103-53 x -9851
A:
Positive:
1 x 52210353 x 9851
Negative:
-1 x -522103-53 x -9851
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 522,103, 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 | 522,103 | |
-1 | -522,103 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 522,103.
Example:
1 x 522,103 = 522,103
and
-1 x -522,103 = 522,103
Notice both answers equal 522,103
With that explanation out of the way, let's continue. Next, we take the number 522,103 and divide it by 2:
522,103 ÷ 2 = 261,051.5
If the quotient is a whole number, then 2 and 261,051.5 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 | 522,103 | |
-1 | -522,103 |
Now, we try dividing 522,103 by 3:
522,103 ÷ 3 = 174,034.3333
If the quotient is a whole number, then 3 and 174,034.3333 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 | 522,103 | |
-1 | -522,103 |
Let's try dividing by 4:
522,103 ÷ 4 = 130,525.75
If the quotient is a whole number, then 4 and 130,525.75 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 | 522,103 | |
-1 | 522,103 |
If you did it right, you will end up with this table:
1 | 53 | 9,851 | 522,103 |
-1 | -53 | -9,851 | -522,103 |
Here are some more numbers to try:
Try the factor calculator