Q: What are the factor combinations of the number 56,903?
A:
Positive:
1 x 569037 x 812911 x 517377 x 739
Negative:
-1 x -56903-7 x -8129-11 x -5173-77 x -739
A:
Positive:
1 x 569037 x 812911 x 517377 x 739
Negative:
-1 x -56903-7 x -8129-11 x -5173-77 x -739
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 56,903, 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 | 56,903 | |
-1 | -56,903 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 56,903.
Example:
1 x 56,903 = 56,903
and
-1 x -56,903 = 56,903
Notice both answers equal 56,903
With that explanation out of the way, let's continue. Next, we take the number 56,903 and divide it by 2:
56,903 ÷ 2 = 28,451.5
If the quotient is a whole number, then 2 and 28,451.5 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 | 56,903 | |
-1 | -56,903 |
Now, we try dividing 56,903 by 3:
56,903 ÷ 3 = 18,967.6667
If the quotient is a whole number, then 3 and 18,967.6667 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 | 56,903 | |
-1 | -56,903 |
Let's try dividing by 4:
56,903 ÷ 4 = 14,225.75
If the quotient is a whole number, then 4 and 14,225.75 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 | 56,903 | |
-1 | 56,903 |
If you did it right, you will end up with this table:
1 | 7 | 11 | 77 | 739 | 5,173 | 8,129 | 56,903 |
-1 | -7 | -11 | -77 | -739 | -5,173 | -8,129 | -56,903 |
Here are some more numbers to try:
Try the factor calculator