Q: What are the factor combinations of the number 2,407,999?

 A:
Positive:   1 x 240799911 x 21890917 x 14164779 x 30481163 x 14773187 x 12877869 x 27711343 x 1793
Negative: -1 x -2407999-11 x -218909-17 x -141647-79 x -30481-163 x -14773-187 x -12877-869 x -2771-1343 x -1793


How do I find the factor combinations of the number 2,407,999?

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 2,407,999, 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 2,407,999
-1 -2,407,999

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 2,407,999.

Example:
1 x 2,407,999 = 2,407,999
and
-1 x -2,407,999 = 2,407,999
Notice both answers equal 2,407,999

With that explanation out of the way, let's continue. Next, we take the number 2,407,999 and divide it by 2:

2,407,999 ÷ 2 = 1,203,999.5

If the quotient is a whole number, then 2 and 1,203,999.5 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 2,407,999
-1 -2,407,999

Now, we try dividing 2,407,999 by 3:

2,407,999 ÷ 3 = 802,666.3333

If the quotient is a whole number, then 3 and 802,666.3333 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 2,407,999
-1 -2,407,999

Let's try dividing by 4:

2,407,999 ÷ 4 = 601,999.75

If the quotient is a whole number, then 4 and 601,999.75 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 2,407,999
-1 2,407,999
Keep dividing by the next highest number until you cannot divide anymore.

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

11117791631878691,3431,7932,77112,87714,77330,481141,647218,9092,407,999
-1-11-17-79-163-187-869-1,343-1,793-2,771-12,877-14,773-30,481-141,647-218,909-2,407,999

More Examples

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