Q: What are the factor combinations of the number 201,003,029?

 A:
Positive:   1 x 20100302959 x 340683189 x 2258461101 x 1990129379 x 5303515251 x 382795959 x 337318989 x 22361
Negative: -1 x -201003029-59 x -3406831-89 x -2258461-101 x -1990129-379 x -530351-5251 x -38279-5959 x -33731-8989 x -22361


How do I find the factor combinations of the number 201,003,029?

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 201,003,029, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

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.

1 201,003,029
-1 -201,003,029

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 201,003,029.

Example:
1 x 201,003,029 = 201,003,029
and
-1 x -201,003,029 = 201,003,029
Notice both answers equal 201,003,029

With that explanation out of the way, let's continue. Next, we take the number 201,003,029 and divide it by 2:

201,003,029 ÷ 2 = 100,501,514.5

If the quotient is a whole number, then 2 and 100,501,514.5 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:

1 201,003,029
-1 -201,003,029

Now, we try dividing 201,003,029 by 3:

201,003,029 ÷ 3 = 67,001,009.6667

If the quotient is a whole number, then 3 and 67,001,009.6667 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:

1 201,003,029
-1 -201,003,029

Let's try dividing by 4:

201,003,029 ÷ 4 = 50,250,757.25

If the quotient is a whole number, then 4 and 50,250,757.25 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:

1 201,003,029
-1 201,003,029
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

159891013795,2515,9598,98922,36133,73138,279530,3511,990,1292,258,4613,406,831201,003,029
-1-59-89-101-379-5,251-5,959-8,989-22,361-33,731-38,279-530,351-1,990,129-2,258,461-3,406,831-201,003,029

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