Q: What are the factor combinations of the number 20,413,003?

 A:
Positive:   1 x 2041300313 x 157023143 x 47472153 x 385151169 x 120787559 x 36517689 x 296272279 x 89572809 x 7267
Negative: -1 x -20413003-13 x -1570231-43 x -474721-53 x -385151-169 x -120787-559 x -36517-689 x -29627-2279 x -8957-2809 x -7267


How do I find the factor combinations of the number 20,413,003?

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 20,413,003, 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 20,413,003
-1 -20,413,003

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 20,413,003.

Example:
1 x 20,413,003 = 20,413,003
and
-1 x -20,413,003 = 20,413,003
Notice both answers equal 20,413,003

With that explanation out of the way, let's continue. Next, we take the number 20,413,003 and divide it by 2:

20,413,003 ÷ 2 = 10,206,501.5

If the quotient is a whole number, then 2 and 10,206,501.5 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 20,413,003
-1 -20,413,003

Now, we try dividing 20,413,003 by 3:

20,413,003 ÷ 3 = 6,804,334.3333

If the quotient is a whole number, then 3 and 6,804,334.3333 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 20,413,003
-1 -20,413,003

Let's try dividing by 4:

20,413,003 ÷ 4 = 5,103,250.75

If the quotient is a whole number, then 4 and 5,103,250.75 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 20,413,003
-1 20,413,003
Keep dividing by the next highest number until you cannot divide anymore.

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

11343531695596892,2792,8097,2678,95729,62736,517120,787385,151474,7211,570,23120,413,003
-1-13-43-53-169-559-689-2,279-2,809-7,267-8,957-29,627-36,517-120,787-385,151-474,721-1,570,231-20,413,003

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