Q: What are the factor combinations of the number 183,908,833?

 A:
Positive:   1 x 18390883331 x 593254337 x 4970509109 x 16872371147 x 1603391471 x 1250233379 x 544274033 x 45601
Negative: -1 x -183908833-31 x -5932543-37 x -4970509-109 x -1687237-1147 x -160339-1471 x -125023-3379 x -54427-4033 x -45601


How do I find the factor combinations of the number 183,908,833?

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 183,908,833, 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.

1 183,908,833
-1 -183,908,833

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 183,908,833.

Example:
1 x 183,908,833 = 183,908,833
and
-1 x -183,908,833 = 183,908,833
Notice both answers equal 183,908,833

With that explanation out of the way, let's continue. Next, we take the number 183,908,833 and divide it by 2:

183,908,833 ÷ 2 = 91,954,416.5

If the quotient is a whole number, then 2 and 91,954,416.5 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:

1 183,908,833
-1 -183,908,833

Now, we try dividing 183,908,833 by 3:

183,908,833 ÷ 3 = 61,302,944.3333

If the quotient is a whole number, then 3 and 61,302,944.3333 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:

1 183,908,833
-1 -183,908,833

Let's try dividing by 4:

183,908,833 ÷ 4 = 45,977,208.25

If the quotient is a whole number, then 4 and 45,977,208.25 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:

1 183,908,833
-1 183,908,833
Keep dividing by the next highest number until you cannot divide anymore.

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

131371091,1471,4713,3794,03345,60154,427125,023160,3391,687,2374,970,5095,932,543183,908,833
-1-31-37-109-1,147-1,471-3,379-4,033-45,601-54,427-125,023-160,339-1,687,237-4,970,509-5,932,543-183,908,833

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