Q: What are the factor combinations of the number 12,373,433?

 A:
Positive:   1 x 1237343317 x 72784931 x 39914353 x 233461443 x 27931527 x 23479901 x 137331643 x 7531
Negative: -1 x -12373433-17 x -727849-31 x -399143-53 x -233461-443 x -27931-527 x -23479-901 x -13733-1643 x -7531


How do I find the factor combinations of the number 12,373,433?

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 12,373,433, 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 12,373,433
-1 -12,373,433

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 12,373,433.

Example:
1 x 12,373,433 = 12,373,433
and
-1 x -12,373,433 = 12,373,433
Notice both answers equal 12,373,433

With that explanation out of the way, let's continue. Next, we take the number 12,373,433 and divide it by 2:

12,373,433 ÷ 2 = 6,186,716.5

If the quotient is a whole number, then 2 and 6,186,716.5 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 12,373,433
-1 -12,373,433

Now, we try dividing 12,373,433 by 3:

12,373,433 ÷ 3 = 4,124,477.6667

If the quotient is a whole number, then 3 and 4,124,477.6667 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 12,373,433
-1 -12,373,433

Let's try dividing by 4:

12,373,433 ÷ 4 = 3,093,358.25

If the quotient is a whole number, then 4 and 3,093,358.25 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 12,373,433
-1 12,373,433
Keep dividing by the next highest number until you cannot divide anymore.

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

11731534435279011,6437,53113,73323,47927,931233,461399,143727,84912,373,433
-1-17-31-53-443-527-901-1,643-7,531-13,733-23,479-27,931-233,461-399,143-727,849-12,373,433

More Examples

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