Q: What are the factor combinations of the number 20,412,415?

 A:
Positive:   1 x 204124155 x 408248331 x 65846579 x 258385155 x 131693395 x 516771667 x 122452449 x 8335
Negative: -1 x -20412415-5 x -4082483-31 x -658465-79 x -258385-155 x -131693-395 x -51677-1667 x -12245-2449 x -8335


How do I find the factor combinations of the number 20,412,415?

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 20,412,415, 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 20,412,415
-1 -20,412,415

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 20,412,415.

Example:
1 x 20,412,415 = 20,412,415
and
-1 x -20,412,415 = 20,412,415
Notice both answers equal 20,412,415

With that explanation out of the way, let's continue. Next, we take the number 20,412,415 and divide it by 2:

20,412,415 ÷ 2 = 10,206,207.5

If the quotient is a whole number, then 2 and 10,206,207.5 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 20,412,415
-1 -20,412,415

Now, we try dividing 20,412,415 by 3:

20,412,415 ÷ 3 = 6,804,138.3333

If the quotient is a whole number, then 3 and 6,804,138.3333 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 20,412,415
-1 -20,412,415

Let's try dividing by 4:

20,412,415 ÷ 4 = 5,103,103.75

If the quotient is a whole number, then 4 and 5,103,103.75 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 20,412,415
-1 20,412,415
Keep dividing by the next highest number until you cannot divide anymore.

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

1531791553951,6672,4498,33512,24551,677131,693258,385658,4654,082,48320,412,415
-1-5-31-79-155-395-1,667-2,449-8,335-12,245-51,677-131,693-258,385-658,465-4,082,483-20,412,415

More Examples

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