Q: What are the factor combinations of the number 15,431,135?

 A:
Positive:   1 x 154311355 x 308622719 x 81216595 x 162433127 x 121505635 x 243011279 x 120652413 x 6395
Negative: -1 x -15431135-5 x -3086227-19 x -812165-95 x -162433-127 x -121505-635 x -24301-1279 x -12065-2413 x -6395


How do I find the factor combinations of the number 15,431,135?

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 15,431,135, 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 15,431,135
-1 -15,431,135

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 15,431,135.

Example:
1 x 15,431,135 = 15,431,135
and
-1 x -15,431,135 = 15,431,135
Notice both answers equal 15,431,135

With that explanation out of the way, let's continue. Next, we take the number 15,431,135 and divide it by 2:

15,431,135 ÷ 2 = 7,715,567.5

If the quotient is a whole number, then 2 and 7,715,567.5 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 15,431,135
-1 -15,431,135

Now, we try dividing 15,431,135 by 3:

15,431,135 ÷ 3 = 5,143,711.6667

If the quotient is a whole number, then 3 and 5,143,711.6667 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 15,431,135
-1 -15,431,135

Let's try dividing by 4:

15,431,135 ÷ 4 = 3,857,783.75

If the quotient is a whole number, then 4 and 3,857,783.75 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 15,431,135
-1 15,431,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951276351,2792,4136,39512,06524,301121,505162,433812,1653,086,22715,431,135
-1-5-19-95-127-635-1,279-2,413-6,395-12,065-24,301-121,505-162,433-812,165-3,086,227-15,431,135

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