Q: What are the factor combinations of the number 12,041,015?

 A:
Positive:   1 x 120410155 x 24082037 x 172014517 x 70829535 x 34402949 x 24573559 x 20408585 x 141659119 x 101185245 x 49147295 x 40817343 x 35105413 x 29155595 x 20237833 x 144551003 x 120051715 x 70212065 x 58312401 x 50152891 x 4165
Negative: -1 x -12041015-5 x -2408203-7 x -1720145-17 x -708295-35 x -344029-49 x -245735-59 x -204085-85 x -141659-119 x -101185-245 x -49147-295 x -40817-343 x -35105-413 x -29155-595 x -20237-833 x -14455-1003 x -12005-1715 x -7021-2065 x -5831-2401 x -5015-2891 x -4165


How do I find the factor combinations of the number 12,041,015?

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 12,041,015, 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 12,041,015
-1 -12,041,015

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 12,041,015.

Example:
1 x 12,041,015 = 12,041,015
and
-1 x -12,041,015 = 12,041,015
Notice both answers equal 12,041,015

With that explanation out of the way, let's continue. Next, we take the number 12,041,015 and divide it by 2:

12,041,015 ÷ 2 = 6,020,507.5

If the quotient is a whole number, then 2 and 6,020,507.5 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 12,041,015
-1 -12,041,015

Now, we try dividing 12,041,015 by 3:

12,041,015 ÷ 3 = 4,013,671.6667

If the quotient is a whole number, then 3 and 4,013,671.6667 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 12,041,015
-1 -12,041,015

Let's try dividing by 4:

12,041,015 ÷ 4 = 3,010,253.75

If the quotient is a whole number, then 4 and 3,010,253.75 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 12,041,015
-1 12,041,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15717354959851192452953434135958331,0031,7152,0652,4012,8914,1655,0155,8317,02112,00514,45520,23729,15535,10540,81749,147101,185141,659204,085245,735344,029708,2951,720,1452,408,20312,041,015
-1-5-7-17-35-49-59-85-119-245-295-343-413-595-833-1,003-1,715-2,065-2,401-2,891-4,165-5,015-5,831-7,021-12,005-14,455-20,237-29,155-35,105-40,817-49,147-101,185-141,659-204,085-245,735-344,029-708,295-1,720,145-2,408,203-12,041,015

More Examples

Here are some more numbers to try:

12,041,01312,041,01412,041,01612,041,017
Try the factor calculator

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