Q: What are the factor combinations of the number 212,001,301?
A:
Positive:
1 x 2120013014723 x 44887
Negative:
-1 x -212001301-4723 x -44887
A:
Positive:
1 x 2120013014723 x 44887
Negative:
-1 x -212001301-4723 x -44887
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 212,001,301, 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 | 212,001,301 | |
-1 | -212,001,301 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,001,301.
Example:
1 x 212,001,301 = 212,001,301
and
-1 x -212,001,301 = 212,001,301
Notice both answers equal 212,001,301
With that explanation out of the way, let's continue. Next, we take the number 212,001,301 and divide it by 2:
212,001,301 ÷ 2 = 106,000,650.5
If the quotient is a whole number, then 2 and 106,000,650.5 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 | 212,001,301 | |
-1 | -212,001,301 |
Now, we try dividing 212,001,301 by 3:
212,001,301 ÷ 3 = 70,667,100.3333
If the quotient is a whole number, then 3 and 70,667,100.3333 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 | 212,001,301 | |
-1 | -212,001,301 |
Let's try dividing by 4:
212,001,301 ÷ 4 = 53,000,325.25
If the quotient is a whole number, then 4 and 53,000,325.25 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 | 212,001,301 | |
-1 | 212,001,301 |
If you did it right, you will end up with this table:
1 | 4,723 | 44,887 | 212,001,301 |
-1 | -4,723 | -44,887 | -212,001,301 |
Here are some more numbers to try:
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