Q: What are the factor combinations of the number 523,037?
A:
Positive:
1 x 52303741 x 12757
Negative:
-1 x -523037-41 x -12757
A:
Positive:
1 x 52303741 x 12757
Negative:
-1 x -523037-41 x -12757
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 523,037, 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 | 523,037 | |
-1 | -523,037 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 523,037.
Example:
1 x 523,037 = 523,037
and
-1 x -523,037 = 523,037
Notice both answers equal 523,037
With that explanation out of the way, let's continue. Next, we take the number 523,037 and divide it by 2:
523,037 ÷ 2 = 261,518.5
If the quotient is a whole number, then 2 and 261,518.5 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 | 523,037 | |
-1 | -523,037 |
Now, we try dividing 523,037 by 3:
523,037 ÷ 3 = 174,345.6667
If the quotient is a whole number, then 3 and 174,345.6667 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 | 523,037 | |
-1 | -523,037 |
Let's try dividing by 4:
523,037 ÷ 4 = 130,759.25
If the quotient is a whole number, then 4 and 130,759.25 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 | 523,037 | |
-1 | 523,037 |
If you did it right, you will end up with this table:
1 | 41 | 12,757 | 523,037 |
-1 | -41 | -12,757 | -523,037 |
Here are some more numbers to try:
Try the factor calculator