Q: What are the factor combinations of the number 20,713?
A:
Positive:
1 x 207137 x 295911 x 188377 x 269
Negative:
-1 x -20713-7 x -2959-11 x -1883-77 x -269
A:
Positive:
1 x 207137 x 295911 x 188377 x 269
Negative:
-1 x -20713-7 x -2959-11 x -1883-77 x -269
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 20,713, 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 | 20,713 | |
-1 | -20,713 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 20,713.
Example:
1 x 20,713 = 20,713
and
-1 x -20,713 = 20,713
Notice both answers equal 20,713
With that explanation out of the way, let's continue. Next, we take the number 20,713 and divide it by 2:
20,713 ÷ 2 = 10,356.5
If the quotient is a whole number, then 2 and 10,356.5 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 | 20,713 | |
-1 | -20,713 |
Now, we try dividing 20,713 by 3:
20,713 ÷ 3 = 6,904.3333
If the quotient is a whole number, then 3 and 6,904.3333 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 | 20,713 | |
-1 | -20,713 |
Let's try dividing by 4:
20,713 ÷ 4 = 5,178.25
If the quotient is a whole number, then 4 and 5,178.25 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 | 20,713 | |
-1 | 20,713 |
If you did it right, you will end up with this table:
1 | 7 | 11 | 77 | 269 | 1,883 | 2,959 | 20,713 |
-1 | -7 | -11 | -77 | -269 | -1,883 | -2,959 | -20,713 |
Here are some more numbers to try:
Try the factor calculator