Q: What are the factor combinations of the number 20,003,011?

 A:
Positive:   1 x 200030117 x 285757329 x 689759203 x 98537211 x 94801467 x 428331477 x 135433269 x 6119
Negative: -1 x -20003011-7 x -2857573-29 x -689759-203 x -98537-211 x -94801-467 x -42833-1477 x -13543-3269 x -6119


How do I find the factor combinations of the number 20,003,011?

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 20,003,011, 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 20,003,011
-1 -20,003,011

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 20,003,011.

Example:
1 x 20,003,011 = 20,003,011
and
-1 x -20,003,011 = 20,003,011
Notice both answers equal 20,003,011

With that explanation out of the way, let's continue. Next, we take the number 20,003,011 and divide it by 2:

20,003,011 ÷ 2 = 10,001,505.5

If the quotient is a whole number, then 2 and 10,001,505.5 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 20,003,011
-1 -20,003,011

Now, we try dividing 20,003,011 by 3:

20,003,011 ÷ 3 = 6,667,670.3333

If the quotient is a whole number, then 3 and 6,667,670.3333 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 20,003,011
-1 -20,003,011

Let's try dividing by 4:

20,003,011 ÷ 4 = 5,000,752.75

If the quotient is a whole number, then 4 and 5,000,752.75 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 20,003,011
-1 20,003,011
Keep dividing by the next highest number until you cannot divide anymore.

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

17292032114671,4773,2696,11913,54342,83394,80198,537689,7592,857,57320,003,011
-1-7-29-203-211-467-1,477-3,269-6,119-13,543-42,833-94,801-98,537-689,759-2,857,573-20,003,011

More Examples

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