Q: What are the factor combinations of the number 12,010,921?
A:
Positive:
1 x 1201092113 x 923917
Negative:
-1 x -12010921-13 x -923917
A:
Positive:
1 x 1201092113 x 923917
Negative:
-1 x -12010921-13 x -923917
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 12,010,921, 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 | 12,010,921 | |
-1 | -12,010,921 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,010,921.
Example:
1 x 12,010,921 = 12,010,921
and
-1 x -12,010,921 = 12,010,921
Notice both answers equal 12,010,921
With that explanation out of the way, let's continue. Next, we take the number 12,010,921 and divide it by 2:
12,010,921 ÷ 2 = 6,005,460.5
If the quotient is a whole number, then 2 and 6,005,460.5 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 | 12,010,921 | |
-1 | -12,010,921 |
Now, we try dividing 12,010,921 by 3:
12,010,921 ÷ 3 = 4,003,640.3333
If the quotient is a whole number, then 3 and 4,003,640.3333 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 | 12,010,921 | |
-1 | -12,010,921 |
Let's try dividing by 4:
12,010,921 ÷ 4 = 3,002,730.25
If the quotient is a whole number, then 4 and 3,002,730.25 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 | 12,010,921 | |
-1 | 12,010,921 |
If you did it right, you will end up with this table:
1 | 13 | 923,917 | 12,010,921 |
-1 | -13 | -923,917 | -12,010,921 |
Here are some more numbers to try:
Try the factor calculator