Q: What are the factor combinations of the number 15,083,515?

 A:
Positive:   1 x 150835155 x 301670323 x 65580531 x 486565115 x 131161155 x 97313713 x 211553565 x 4231
Negative: -1 x -15083515-5 x -3016703-23 x -655805-31 x -486565-115 x -131161-155 x -97313-713 x -21155-3565 x -4231


How do I find the factor combinations of the number 15,083,515?

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 15,083,515, 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 15,083,515
-1 -15,083,515

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 15,083,515.

Example:
1 x 15,083,515 = 15,083,515
and
-1 x -15,083,515 = 15,083,515
Notice both answers equal 15,083,515

With that explanation out of the way, let's continue. Next, we take the number 15,083,515 and divide it by 2:

15,083,515 ÷ 2 = 7,541,757.5

If the quotient is a whole number, then 2 and 7,541,757.5 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 15,083,515
-1 -15,083,515

Now, we try dividing 15,083,515 by 3:

15,083,515 ÷ 3 = 5,027,838.3333

If the quotient is a whole number, then 3 and 5,027,838.3333 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 15,083,515
-1 -15,083,515

Let's try dividing by 4:

15,083,515 ÷ 4 = 3,770,878.75

If the quotient is a whole number, then 4 and 3,770,878.75 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 15,083,515
-1 15,083,515
Keep dividing by the next highest number until you cannot divide anymore.

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

1523311151557133,5654,23121,15597,313131,161486,565655,8053,016,70315,083,515
-1-5-23-31-115-155-713-3,565-4,231-21,155-97,313-131,161-486,565-655,805-3,016,703-15,083,515

More Examples

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