Q: What are the factor combinations of the number 15,122,755?

 A:
Positive:   1 x 151227555 x 302455153 x 285335149 x 101495265 x 57067383 x 39485745 x 202991915 x 7897
Negative: -1 x -15122755-5 x -3024551-53 x -285335-149 x -101495-265 x -57067-383 x -39485-745 x -20299-1915 x -7897


How do I find the factor combinations of the number 15,122,755?

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 15,122,755, 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 15,122,755
-1 -15,122,755

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 15,122,755.

Example:
1 x 15,122,755 = 15,122,755
and
-1 x -15,122,755 = 15,122,755
Notice both answers equal 15,122,755

With that explanation out of the way, let's continue. Next, we take the number 15,122,755 and divide it by 2:

15,122,755 ÷ 2 = 7,561,377.5

If the quotient is a whole number, then 2 and 7,561,377.5 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 15,122,755
-1 -15,122,755

Now, we try dividing 15,122,755 by 3:

15,122,755 ÷ 3 = 5,040,918.3333

If the quotient is a whole number, then 3 and 5,040,918.3333 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 15,122,755
-1 -15,122,755

Let's try dividing by 4:

15,122,755 ÷ 4 = 3,780,688.75

If the quotient is a whole number, then 4 and 3,780,688.75 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 15,122,755
-1 15,122,755
Keep dividing by the next highest number until you cannot divide anymore.

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

15531492653837451,9157,89720,29939,48557,067101,495285,3353,024,55115,122,755
-1-5-53-149-265-383-745-1,915-7,897-20,299-39,485-57,067-101,495-285,335-3,024,551-15,122,755

More Examples

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