Q: What are the factor combinations of the number 23,408,827?

 A:
Positive:   1 x 2340882713 x 180067937 x 63267141 x 570947481 x 48667533 x 439191187 x 197211517 x 15431
Negative: -1 x -23408827-13 x -1800679-37 x -632671-41 x -570947-481 x -48667-533 x -43919-1187 x -19721-1517 x -15431


How do I find the factor combinations of the number 23,408,827?

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 23,408,827, 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 23,408,827
-1 -23,408,827

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 23,408,827.

Example:
1 x 23,408,827 = 23,408,827
and
-1 x -23,408,827 = 23,408,827
Notice both answers equal 23,408,827

With that explanation out of the way, let's continue. Next, we take the number 23,408,827 and divide it by 2:

23,408,827 ÷ 2 = 11,704,413.5

If the quotient is a whole number, then 2 and 11,704,413.5 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 23,408,827
-1 -23,408,827

Now, we try dividing 23,408,827 by 3:

23,408,827 ÷ 3 = 7,802,942.3333

If the quotient is a whole number, then 3 and 7,802,942.3333 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 23,408,827
-1 -23,408,827

Let's try dividing by 4:

23,408,827 ÷ 4 = 5,852,206.75

If the quotient is a whole number, then 4 and 5,852,206.75 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 23,408,827
-1 23,408,827
Keep dividing by the next highest number until you cannot divide anymore.

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

11337414815331,1871,51715,43119,72143,91948,667570,947632,6711,800,67923,408,827
-1-13-37-41-481-533-1,187-1,517-15,431-19,721-43,919-48,667-570,947-632,671-1,800,679-23,408,827

More Examples

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