Q: What are the factor combinations of the number 20,014,415?

 A:
Positive:   1 x 200144155 x 4002883409 x 489352045 x 9787
Negative: -1 x -20014415-5 x -4002883-409 x -48935-2045 x -9787


How do I find the factor combinations of the number 20,014,415?

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 20,014,415, 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 20,014,415
-1 -20,014,415

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 20,014,415.

Example:
1 x 20,014,415 = 20,014,415
and
-1 x -20,014,415 = 20,014,415
Notice both answers equal 20,014,415

With that explanation out of the way, let's continue. Next, we take the number 20,014,415 and divide it by 2:

20,014,415 ÷ 2 = 10,007,207.5

If the quotient is a whole number, then 2 and 10,007,207.5 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 20,014,415
-1 -20,014,415

Now, we try dividing 20,014,415 by 3:

20,014,415 ÷ 3 = 6,671,471.6667

If the quotient is a whole number, then 3 and 6,671,471.6667 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 20,014,415
-1 -20,014,415

Let's try dividing by 4:

20,014,415 ÷ 4 = 5,003,603.75

If the quotient is a whole number, then 4 and 5,003,603.75 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 20,014,415
-1 20,014,415
Keep dividing by the next highest number until you cannot divide anymore.

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

154092,0459,78748,9354,002,88320,014,415
-1-5-409-2,045-9,787-48,935-4,002,883-20,014,415

More Examples

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