Q: What are the factor combinations of the number 21,073?
A:
Positive:
1 x 2107313 x 1621
Negative:
-1 x -21073-13 x -1621
A:
Positive:
1 x 2107313 x 1621
Negative:
-1 x -21073-13 x -1621
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 21,073, 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 | 21,073 | |
-1 | -21,073 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,073.
Example:
1 x 21,073 = 21,073
and
-1 x -21,073 = 21,073
Notice both answers equal 21,073
With that explanation out of the way, let's continue. Next, we take the number 21,073 and divide it by 2:
21,073 ÷ 2 = 10,536.5
If the quotient is a whole number, then 2 and 10,536.5 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 | 21,073 | |
-1 | -21,073 |
Now, we try dividing 21,073 by 3:
21,073 ÷ 3 = 7,024.3333
If the quotient is a whole number, then 3 and 7,024.3333 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 | 21,073 | |
-1 | -21,073 |
Let's try dividing by 4:
21,073 ÷ 4 = 5,268.25
If the quotient is a whole number, then 4 and 5,268.25 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 | 21,073 | |
-1 | 21,073 |
If you did it right, you will end up with this table:
1 | 13 | 1,621 | 21,073 |
-1 | -13 | -1,621 | -21,073 |
Here are some more numbers to try:
Try the factor calculator