Q: What are the factor combinations of the number 12,045,031?

 A:
Positive:   1 x 1204503119 x 63394923 x 52369743 x 280117437 x 27563641 x 18791817 x 14743989 x 12179
Negative: -1 x -12045031-19 x -633949-23 x -523697-43 x -280117-437 x -27563-641 x -18791-817 x -14743-989 x -12179


How do I find the factor combinations of the number 12,045,031?

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 12,045,031, 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 12,045,031
-1 -12,045,031

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 12,045,031.

Example:
1 x 12,045,031 = 12,045,031
and
-1 x -12,045,031 = 12,045,031
Notice both answers equal 12,045,031

With that explanation out of the way, let's continue. Next, we take the number 12,045,031 and divide it by 2:

12,045,031 ÷ 2 = 6,022,515.5

If the quotient is a whole number, then 2 and 6,022,515.5 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 12,045,031
-1 -12,045,031

Now, we try dividing 12,045,031 by 3:

12,045,031 ÷ 3 = 4,015,010.3333

If the quotient is a whole number, then 3 and 4,015,010.3333 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 12,045,031
-1 -12,045,031

Let's try dividing by 4:

12,045,031 ÷ 4 = 3,011,257.75

If the quotient is a whole number, then 4 and 3,011,257.75 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 12,045,031
-1 12,045,031
Keep dividing by the next highest number until you cannot divide anymore.

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

119234343764181798912,17914,74318,79127,563280,117523,697633,94912,045,031
-1-19-23-43-437-641-817-989-12,179-14,743-18,791-27,563-280,117-523,697-633,949-12,045,031

More Examples

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