Q: What are the factor combinations of the number 133,012,033?

 A:
Positive:   1 x 1330120337 x 1900171911 x 1209200353 x 250966177 x 1727429121 x 1099273371 x 358523583 x 228151847 x 1570392963 x 448914081 x 325936413 x 20741
Negative: -1 x -133012033-7 x -19001719-11 x -12092003-53 x -2509661-77 x -1727429-121 x -1099273-371 x -358523-583 x -228151-847 x -157039-2963 x -44891-4081 x -32593-6413 x -20741


How do I find the factor combinations of the number 133,012,033?

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 133,012,033, 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.

1 133,012,033
-1 -133,012,033

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 133,012,033.

Example:
1 x 133,012,033 = 133,012,033
and
-1 x -133,012,033 = 133,012,033
Notice both answers equal 133,012,033

With that explanation out of the way, let's continue. Next, we take the number 133,012,033 and divide it by 2:

133,012,033 ÷ 2 = 66,506,016.5

If the quotient is a whole number, then 2 and 66,506,016.5 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:

1 133,012,033
-1 -133,012,033

Now, we try dividing 133,012,033 by 3:

133,012,033 ÷ 3 = 44,337,344.3333

If the quotient is a whole number, then 3 and 44,337,344.3333 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:

1 133,012,033
-1 -133,012,033

Let's try dividing by 4:

133,012,033 ÷ 4 = 33,253,008.25

If the quotient is a whole number, then 4 and 33,253,008.25 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:

1 133,012,033
-1 133,012,033
Keep dividing by the next highest number until you cannot divide anymore.

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

171153771213715838472,9634,0816,41320,74132,59344,891157,039228,151358,5231,099,2731,727,4292,509,66112,092,00319,001,719133,012,033
-1-7-11-53-77-121-371-583-847-2,963-4,081-6,413-20,741-32,593-44,891-157,039-228,151-358,523-1,099,273-1,727,429-2,509,661-12,092,003-19,001,719-133,012,033

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