Q: What are the factor combinations of the number 133,241,015?

 A:
Positive:   1 x 1332410155 x 2664820319 x 701268595 x 1402537149 x 894235745 x 1788472831 x 470659413 x 14155
Negative: -1 x -133241015-5 x -26648203-19 x -7012685-95 x -1402537-149 x -894235-745 x -178847-2831 x -47065-9413 x -14155


How do I find the factor combinations of the number 133,241,015?

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 133,241,015, 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.

1 133,241,015
-1 -133,241,015

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 133,241,015.

Example:
1 x 133,241,015 = 133,241,015
and
-1 x -133,241,015 = 133,241,015
Notice both answers equal 133,241,015

With that explanation out of the way, let's continue. Next, we take the number 133,241,015 and divide it by 2:

133,241,015 ÷ 2 = 66,620,507.5

If the quotient is a whole number, then 2 and 66,620,507.5 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:

1 133,241,015
-1 -133,241,015

Now, we try dividing 133,241,015 by 3:

133,241,015 ÷ 3 = 44,413,671.6667

If the quotient is a whole number, then 3 and 44,413,671.6667 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:

1 133,241,015
-1 -133,241,015

Let's try dividing by 4:

133,241,015 ÷ 4 = 33,310,253.75

If the quotient is a whole number, then 4 and 33,310,253.75 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:

1 133,241,015
-1 133,241,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951497452,8319,41314,15547,065178,847894,2351,402,5377,012,68526,648,203133,241,015
-1-5-19-95-149-745-2,831-9,413-14,155-47,065-178,847-894,235-1,402,537-7,012,685-26,648,203-133,241,015

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