Q: What are the factor combinations of the number 40,203,011?

 A:
Positive:   1 x 4020301117 x 236488323 x 1747957229 x 175559391 x 102821449 x 895393893 x 103275267 x 7633
Negative: -1 x -40203011-17 x -2364883-23 x -1747957-229 x -175559-391 x -102821-449 x -89539-3893 x -10327-5267 x -7633


How do I find the factor combinations of the number 40,203,011?

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 40,203,011, 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 40,203,011
-1 -40,203,011

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 40,203,011.

Example:
1 x 40,203,011 = 40,203,011
and
-1 x -40,203,011 = 40,203,011
Notice both answers equal 40,203,011

With that explanation out of the way, let's continue. Next, we take the number 40,203,011 and divide it by 2:

40,203,011 ÷ 2 = 20,101,505.5

If the quotient is a whole number, then 2 and 20,101,505.5 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 40,203,011
-1 -40,203,011

Now, we try dividing 40,203,011 by 3:

40,203,011 ÷ 3 = 13,401,003.6667

If the quotient is a whole number, then 3 and 13,401,003.6667 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 40,203,011
-1 -40,203,011

Let's try dividing by 4:

40,203,011 ÷ 4 = 10,050,752.75

If the quotient is a whole number, then 4 and 10,050,752.75 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 40,203,011
-1 40,203,011
Keep dividing by the next highest number until you cannot divide anymore.

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

117232293914493,8935,2677,63310,32789,539102,821175,5591,747,9572,364,88340,203,011
-1-17-23-229-391-449-3,893-5,267-7,633-10,327-89,539-102,821-175,559-1,747,957-2,364,883-40,203,011

More Examples

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