Q: What are the factor combinations of the number 212,130,221?
A:
Positive:
1 x 21213022153 x 4002457
Negative:
-1 x -212130221-53 x -4002457
A:
Positive:
1 x 21213022153 x 4002457
Negative:
-1 x -212130221-53 x -4002457
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 212,130,221, 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 | 212,130,221 | |
-1 | -212,130,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,130,221.
Example:
1 x 212,130,221 = 212,130,221
and
-1 x -212,130,221 = 212,130,221
Notice both answers equal 212,130,221
With that explanation out of the way, let's continue. Next, we take the number 212,130,221 and divide it by 2:
212,130,221 ÷ 2 = 106,065,110.5
If the quotient is a whole number, then 2 and 106,065,110.5 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 | 212,130,221 | |
-1 | -212,130,221 |
Now, we try dividing 212,130,221 by 3:
212,130,221 ÷ 3 = 70,710,073.6667
If the quotient is a whole number, then 3 and 70,710,073.6667 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 | 212,130,221 | |
-1 | -212,130,221 |
Let's try dividing by 4:
212,130,221 ÷ 4 = 53,032,555.25
If the quotient is a whole number, then 4 and 53,032,555.25 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 | 212,130,221 | |
-1 | 212,130,221 |
If you did it right, you will end up with this table:
1 | 53 | 4,002,457 | 212,130,221 |
-1 | -53 | -4,002,457 | -212,130,221 |
Here are some more numbers to try:
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