Q: What are the factor combinations of the number 15,040,325?

 A:
Positive:   1 x 150403255 x 300806517 x 88472525 x 60161343 x 34977585 x 176945215 x 69955425 x 35389731 x 20575823 x 182751075 x 139913655 x 4115
Negative: -1 x -15040325-5 x -3008065-17 x -884725-25 x -601613-43 x -349775-85 x -176945-215 x -69955-425 x -35389-731 x -20575-823 x -18275-1075 x -13991-3655 x -4115


How do I find the factor combinations of the number 15,040,325?

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 15,040,325, 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 15,040,325
-1 -15,040,325

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 15,040,325.

Example:
1 x 15,040,325 = 15,040,325
and
-1 x -15,040,325 = 15,040,325
Notice both answers equal 15,040,325

With that explanation out of the way, let's continue. Next, we take the number 15,040,325 and divide it by 2:

15,040,325 ÷ 2 = 7,520,162.5

If the quotient is a whole number, then 2 and 7,520,162.5 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 15,040,325
-1 -15,040,325

Now, we try dividing 15,040,325 by 3:

15,040,325 ÷ 3 = 5,013,441.6667

If the quotient is a whole number, then 3 and 5,013,441.6667 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 15,040,325
-1 -15,040,325

Let's try dividing by 4:

15,040,325 ÷ 4 = 3,760,081.25

If the quotient is a whole number, then 4 and 3,760,081.25 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 15,040,325
-1 15,040,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15172543852154257318231,0753,6554,11513,99118,27520,57535,38969,955176,945349,775601,613884,7253,008,06515,040,325
-1-5-17-25-43-85-215-425-731-823-1,075-3,655-4,115-13,991-18,275-20,575-35,389-69,955-176,945-349,775-601,613-884,725-3,008,065-15,040,325

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