Q: What are the factor combinations of the number 21,066,521?
A:
Positive:
1 x 210665217 x 300950349 x 429929
Negative:
-1 x -21066521-7 x -3009503-49 x -429929
A:
Positive:
1 x 210665217 x 300950349 x 429929
Negative:
-1 x -21066521-7 x -3009503-49 x -429929
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 21,066,521, 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 | 21,066,521 | |
-1 | -21,066,521 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,066,521.
Example:
1 x 21,066,521 = 21,066,521
and
-1 x -21,066,521 = 21,066,521
Notice both answers equal 21,066,521
With that explanation out of the way, let's continue. Next, we take the number 21,066,521 and divide it by 2:
21,066,521 ÷ 2 = 10,533,260.5
If the quotient is a whole number, then 2 and 10,533,260.5 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 | 21,066,521 | |
-1 | -21,066,521 |
Now, we try dividing 21,066,521 by 3:
21,066,521 ÷ 3 = 7,022,173.6667
If the quotient is a whole number, then 3 and 7,022,173.6667 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 | 21,066,521 | |
-1 | -21,066,521 |
Let's try dividing by 4:
21,066,521 ÷ 4 = 5,266,630.25
If the quotient is a whole number, then 4 and 5,266,630.25 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 | 21,066,521 | |
-1 | 21,066,521 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 429,929 | 3,009,503 | 21,066,521 |
-1 | -7 | -49 | -429,929 | -3,009,503 | -21,066,521 |
Here are some more numbers to try:
Try the factor calculator