Q: What are the factor combinations of the number 32,002,415?

 A:
Positive:   1 x 320024155 x 640048317 x 188249585 x 376499289 x 1107351445 x 22147
Negative: -1 x -32002415-5 x -6400483-17 x -1882495-85 x -376499-289 x -110735-1445 x -22147


How do I find the factor combinations of the number 32,002,415?

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 32,002,415, 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 32,002,415
-1 -32,002,415

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 32,002,415.

Example:
1 x 32,002,415 = 32,002,415
and
-1 x -32,002,415 = 32,002,415
Notice both answers equal 32,002,415

With that explanation out of the way, let's continue. Next, we take the number 32,002,415 and divide it by 2:

32,002,415 ÷ 2 = 16,001,207.5

If the quotient is a whole number, then 2 and 16,001,207.5 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 32,002,415
-1 -32,002,415

Now, we try dividing 32,002,415 by 3:

32,002,415 ÷ 3 = 10,667,471.6667

If the quotient is a whole number, then 3 and 10,667,471.6667 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 32,002,415
-1 -32,002,415

Let's try dividing by 4:

32,002,415 ÷ 4 = 8,000,603.75

If the quotient is a whole number, then 4 and 8,000,603.75 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 32,002,415
-1 32,002,415
Keep dividing by the next highest number until you cannot divide anymore.

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

1517852891,44522,147110,735376,4991,882,4956,400,48332,002,415
-1-5-17-85-289-1,445-22,147-110,735-376,499-1,882,495-6,400,483-32,002,415

More Examples

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