Q: What are the factor combinations of the number 9,445,423?

 A:
Positive:   1 x 944542313 x 72657143 x 21966161 x 154843277 x 34099559 x 16897793 x 119112623 x 3601
Negative: -1 x -9445423-13 x -726571-43 x -219661-61 x -154843-277 x -34099-559 x -16897-793 x -11911-2623 x -3601


How do I find the factor combinations of the number 9,445,423?

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 9,445,423, 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 9,445,423
-1 -9,445,423

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 9,445,423.

Example:
1 x 9,445,423 = 9,445,423
and
-1 x -9,445,423 = 9,445,423
Notice both answers equal 9,445,423

With that explanation out of the way, let's continue. Next, we take the number 9,445,423 and divide it by 2:

9,445,423 ÷ 2 = 4,722,711.5

If the quotient is a whole number, then 2 and 4,722,711.5 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 9,445,423
-1 -9,445,423

Now, we try dividing 9,445,423 by 3:

9,445,423 ÷ 3 = 3,148,474.3333

If the quotient is a whole number, then 3 and 3,148,474.3333 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 9,445,423
-1 -9,445,423

Let's try dividing by 4:

9,445,423 ÷ 4 = 2,361,355.75

If the quotient is a whole number, then 4 and 2,361,355.75 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 9,445,423
-1 9,445,423
Keep dividing by the next highest number until you cannot divide anymore.

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

11343612775597932,6233,60111,91116,89734,099154,843219,661726,5719,445,423
-1-13-43-61-277-559-793-2,623-3,601-11,911-16,897-34,099-154,843-219,661-726,571-9,445,423

More Examples

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