Q: What are the factor combinations of the number 131,000,203?

 A:
Positive:   1 x 13100020323 x 569566131 x 4225813313 x 418531587 x 223169713 x 1837317199 x 181979703 x 13501
Negative: -1 x -131000203-23 x -5695661-31 x -4225813-313 x -418531-587 x -223169-713 x -183731-7199 x -18197-9703 x -13501


How do I find the factor combinations of the number 131,000,203?

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 131,000,203, 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.

1 131,000,203
-1 -131,000,203

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 131,000,203.

Example:
1 x 131,000,203 = 131,000,203
and
-1 x -131,000,203 = 131,000,203
Notice both answers equal 131,000,203

With that explanation out of the way, let's continue. Next, we take the number 131,000,203 and divide it by 2:

131,000,203 ÷ 2 = 65,500,101.5

If the quotient is a whole number, then 2 and 65,500,101.5 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:

1 131,000,203
-1 -131,000,203

Now, we try dividing 131,000,203 by 3:

131,000,203 ÷ 3 = 43,666,734.3333

If the quotient is a whole number, then 3 and 43,666,734.3333 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:

1 131,000,203
-1 -131,000,203

Let's try dividing by 4:

131,000,203 ÷ 4 = 32,750,050.75

If the quotient is a whole number, then 4 and 32,750,050.75 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:

1 131,000,203
-1 131,000,203
Keep dividing by the next highest number until you cannot divide anymore.

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

123313135877137,1999,70313,50118,197183,731223,169418,5314,225,8135,695,661131,000,203
-1-23-31-313-587-713-7,199-9,703-13,501-18,197-183,731-223,169-418,531-4,225,813-5,695,661-131,000,203

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