Q: What are the factor combinations of the number 201,431,401?

 A:
Positive:   1 x 20143140123 x 875788741 x 4912961227 x 887363941 x 214061943 x 2136075221 x 385819307 x 21643
Negative: -1 x -201431401-23 x -8757887-41 x -4912961-227 x -887363-941 x -214061-943 x -213607-5221 x -38581-9307 x -21643


How do I find the factor combinations of the number 201,431,401?

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 201,431,401, 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.

1 201,431,401
-1 -201,431,401

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 201,431,401.

Example:
1 x 201,431,401 = 201,431,401
and
-1 x -201,431,401 = 201,431,401
Notice both answers equal 201,431,401

With that explanation out of the way, let's continue. Next, we take the number 201,431,401 and divide it by 2:

201,431,401 ÷ 2 = 100,715,700.5

If the quotient is a whole number, then 2 and 100,715,700.5 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:

1 201,431,401
-1 -201,431,401

Now, we try dividing 201,431,401 by 3:

201,431,401 ÷ 3 = 67,143,800.3333

If the quotient is a whole number, then 3 and 67,143,800.3333 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:

1 201,431,401
-1 -201,431,401

Let's try dividing by 4:

201,431,401 ÷ 4 = 50,357,850.25

If the quotient is a whole number, then 4 and 50,357,850.25 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:

1 201,431,401
-1 201,431,401
Keep dividing by the next highest number until you cannot divide anymore.

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

123412279419435,2219,30721,64338,581213,607214,061887,3634,912,9618,757,887201,431,401
-1-23-41-227-941-943-5,221-9,307-21,643-38,581-213,607-214,061-887,363-4,912,961-8,757,887-201,431,401

More Examples

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