Q: What are the factor combinations of the number 213,011,327?
A:
Positive:
1 x 213011327263 x 809929
Negative:
-1 x -213011327-263 x -809929
A:
Positive:
1 x 213011327263 x 809929
Negative:
-1 x -213011327-263 x -809929
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 213,011,327, 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 | 213,011,327 | |
-1 | -213,011,327 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,011,327.
Example:
1 x 213,011,327 = 213,011,327
and
-1 x -213,011,327 = 213,011,327
Notice both answers equal 213,011,327
With that explanation out of the way, let's continue. Next, we take the number 213,011,327 and divide it by 2:
213,011,327 ÷ 2 = 106,505,663.5
If the quotient is a whole number, then 2 and 106,505,663.5 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 | 213,011,327 | |
-1 | -213,011,327 |
Now, we try dividing 213,011,327 by 3:
213,011,327 ÷ 3 = 71,003,775.6667
If the quotient is a whole number, then 3 and 71,003,775.6667 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 | 213,011,327 | |
-1 | -213,011,327 |
Let's try dividing by 4:
213,011,327 ÷ 4 = 53,252,831.75
If the quotient is a whole number, then 4 and 53,252,831.75 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 | 213,011,327 | |
-1 | 213,011,327 |
If you did it right, you will end up with this table:
1 | 263 | 809,929 | 213,011,327 |
-1 | -263 | -809,929 | -213,011,327 |
Here are some more numbers to try:
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