Q: What are the factor combinations of the number 12,441,029?

 A:
Positive:   1 x 1244102919 x 65479129 x 42900167 x 185687337 x 36917551 x 225791273 x 97731943 x 6403
Negative: -1 x -12441029-19 x -654791-29 x -429001-67 x -185687-337 x -36917-551 x -22579-1273 x -9773-1943 x -6403


How do I find the factor combinations of the number 12,441,029?

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 12,441,029, 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 12,441,029
-1 -12,441,029

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 12,441,029.

Example:
1 x 12,441,029 = 12,441,029
and
-1 x -12,441,029 = 12,441,029
Notice both answers equal 12,441,029

With that explanation out of the way, let's continue. Next, we take the number 12,441,029 and divide it by 2:

12,441,029 ÷ 2 = 6,220,514.5

If the quotient is a whole number, then 2 and 6,220,514.5 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 12,441,029
-1 -12,441,029

Now, we try dividing 12,441,029 by 3:

12,441,029 ÷ 3 = 4,147,009.6667

If the quotient is a whole number, then 3 and 4,147,009.6667 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 12,441,029
-1 -12,441,029

Let's try dividing by 4:

12,441,029 ÷ 4 = 3,110,257.25

If the quotient is a whole number, then 4 and 3,110,257.25 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 12,441,029
-1 12,441,029
Keep dividing by the next highest number until you cannot divide anymore.

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

11929673375511,2731,9436,4039,77322,57936,917185,687429,001654,79112,441,029
-1-19-29-67-337-551-1,273-1,943-6,403-9,773-22,579-36,917-185,687-429,001-654,791-12,441,029

More Examples

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