Q: What are the factor combinations of the number 20,003,105?

 A:
Positive:   1 x 200031055 x 400062119 x 105279595 x 210559239 x 83695881 x 227051195 x 167394405 x 4541
Negative: -1 x -20003105-5 x -4000621-19 x -1052795-95 x -210559-239 x -83695-881 x -22705-1195 x -16739-4405 x -4541


How do I find the factor combinations of the number 20,003,105?

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 20,003,105, 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 20,003,105
-1 -20,003,105

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 20,003,105.

Example:
1 x 20,003,105 = 20,003,105
and
-1 x -20,003,105 = 20,003,105
Notice both answers equal 20,003,105

With that explanation out of the way, let's continue. Next, we take the number 20,003,105 and divide it by 2:

20,003,105 ÷ 2 = 10,001,552.5

If the quotient is a whole number, then 2 and 10,001,552.5 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 20,003,105
-1 -20,003,105

Now, we try dividing 20,003,105 by 3:

20,003,105 ÷ 3 = 6,667,701.6667

If the quotient is a whole number, then 3 and 6,667,701.6667 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 20,003,105
-1 -20,003,105

Let's try dividing by 4:

20,003,105 ÷ 4 = 5,000,776.25

If the quotient is a whole number, then 4 and 5,000,776.25 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 20,003,105
-1 20,003,105
Keep dividing by the next highest number until you cannot divide anymore.

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

1519952398811,1954,4054,54116,73922,70583,695210,5591,052,7954,000,62120,003,105
-1-5-19-95-239-881-1,195-4,405-4,541-16,739-22,705-83,695-210,559-1,052,795-4,000,621-20,003,105

More Examples

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