Q: What are the factor combinations of the number 133,324,505?

 A:
Positive:   1 x 1333245055 x 2666490137 x 3603365185 x 720673577 x 2310651249 x 1067452885 x 462136245 x 21349
Negative: -1 x -133324505-5 x -26664901-37 x -3603365-185 x -720673-577 x -231065-1249 x -106745-2885 x -46213-6245 x -21349


How do I find the factor combinations of the number 133,324,505?

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 133,324,505, 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.

1 133,324,505
-1 -133,324,505

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 133,324,505.

Example:
1 x 133,324,505 = 133,324,505
and
-1 x -133,324,505 = 133,324,505
Notice both answers equal 133,324,505

With that explanation out of the way, let's continue. Next, we take the number 133,324,505 and divide it by 2:

133,324,505 ÷ 2 = 66,662,252.5

If the quotient is a whole number, then 2 and 66,662,252.5 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:

1 133,324,505
-1 -133,324,505

Now, we try dividing 133,324,505 by 3:

133,324,505 ÷ 3 = 44,441,501.6667

If the quotient is a whole number, then 3 and 44,441,501.6667 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:

1 133,324,505
-1 -133,324,505

Let's try dividing by 4:

133,324,505 ÷ 4 = 33,331,126.25

If the quotient is a whole number, then 4 and 33,331,126.25 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:

1 133,324,505
-1 133,324,505
Keep dividing by the next highest number until you cannot divide anymore.

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

15371855771,2492,8856,24521,34946,213106,745231,065720,6733,603,36526,664,901133,324,505
-1-5-37-185-577-1,249-2,885-6,245-21,349-46,213-106,745-231,065-720,673-3,603,365-26,664,901-133,324,505

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