Q: What are the factor combinations of the number 104,412,235?

 A:
Positive:   1 x 1044122355 x 20882447251 x 415985271 x 385285307 x 3401051255 x 831971355 x 770571535 x 68021
Negative: -1 x -104412235-5 x -20882447-251 x -415985-271 x -385285-307 x -340105-1255 x -83197-1355 x -77057-1535 x -68021


How do I find the factor combinations of the number 104,412,235?

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 104,412,235, 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.

1 104,412,235
-1 -104,412,235

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 104,412,235.

Example:
1 x 104,412,235 = 104,412,235
and
-1 x -104,412,235 = 104,412,235
Notice both answers equal 104,412,235

With that explanation out of the way, let's continue. Next, we take the number 104,412,235 and divide it by 2:

104,412,235 ÷ 2 = 52,206,117.5

If the quotient is a whole number, then 2 and 52,206,117.5 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:

1 104,412,235
-1 -104,412,235

Now, we try dividing 104,412,235 by 3:

104,412,235 ÷ 3 = 34,804,078.3333

If the quotient is a whole number, then 3 and 34,804,078.3333 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:

1 104,412,235
-1 -104,412,235

Let's try dividing by 4:

104,412,235 ÷ 4 = 26,103,058.75

If the quotient is a whole number, then 4 and 26,103,058.75 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:

1 104,412,235
-1 104,412,235
Keep dividing by the next highest number until you cannot divide anymore.

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

152512713071,2551,3551,53568,02177,05783,197340,105385,285415,98520,882,447104,412,235
-1-5-251-271-307-1,255-1,355-1,535-68,021-77,057-83,197-340,105-385,285-415,985-20,882,447-104,412,235

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