Q: What are the factor combinations of the number 20,001,115?

 A:
Positive:   1 x 200011155 x 4000223317 x 630951585 x 12619
Negative: -1 x -20001115-5 x -4000223-317 x -63095-1585 x -12619


How do I find the factor combinations of the number 20,001,115?

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 20,001,115, 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 20,001,115
-1 -20,001,115

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 20,001,115.

Example:
1 x 20,001,115 = 20,001,115
and
-1 x -20,001,115 = 20,001,115
Notice both answers equal 20,001,115

With that explanation out of the way, let's continue. Next, we take the number 20,001,115 and divide it by 2:

20,001,115 ÷ 2 = 10,000,557.5

If the quotient is a whole number, then 2 and 10,000,557.5 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 20,001,115
-1 -20,001,115

Now, we try dividing 20,001,115 by 3:

20,001,115 ÷ 3 = 6,667,038.3333

If the quotient is a whole number, then 3 and 6,667,038.3333 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 20,001,115
-1 -20,001,115

Let's try dividing by 4:

20,001,115 ÷ 4 = 5,000,278.75

If the quotient is a whole number, then 4 and 5,000,278.75 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 20,001,115
-1 20,001,115
Keep dividing by the next highest number until you cannot divide anymore.

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

153171,58512,61963,0954,000,22320,001,115
-1-5-317-1,585-12,619-63,095-4,000,223-20,001,115

More Examples

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