Q: What are the factor combinations of the number 403,203,031?

 A:
Positive:   1 x 4032030317 x 5760043311 x 3665482177 x 52364031789 x 2253792927 x 13775312523 x 3219719679 x 20489
Negative: -1 x -403203031-7 x -57600433-11 x -36654821-77 x -5236403-1789 x -225379-2927 x -137753-12523 x -32197-19679 x -20489


How do I find the factor combinations of the number 403,203,031?

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 403,203,031, 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.

1 403,203,031
-1 -403,203,031

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 403,203,031.

Example:
1 x 403,203,031 = 403,203,031
and
-1 x -403,203,031 = 403,203,031
Notice both answers equal 403,203,031

With that explanation out of the way, let's continue. Next, we take the number 403,203,031 and divide it by 2:

403,203,031 ÷ 2 = 201,601,515.5

If the quotient is a whole number, then 2 and 201,601,515.5 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:

1 403,203,031
-1 -403,203,031

Now, we try dividing 403,203,031 by 3:

403,203,031 ÷ 3 = 134,401,010.3333

If the quotient is a whole number, then 3 and 134,401,010.3333 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:

1 403,203,031
-1 -403,203,031

Let's try dividing by 4:

403,203,031 ÷ 4 = 100,800,757.75

If the quotient is a whole number, then 4 and 100,800,757.75 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:

1 403,203,031
-1 403,203,031
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771,7892,92712,52319,67920,48932,197137,753225,3795,236,40336,654,82157,600,433403,203,031
-1-7-11-77-1,789-2,927-12,523-19,679-20,489-32,197-137,753-225,379-5,236,403-36,654,821-57,600,433-403,203,031

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