Q: What are the factor combinations of the number 20,251,231?

 A:
Positive:   1 x 202512317 x 289303311 x 184102113 x 155778777 x 26300391 x 222541143 x 1416171001 x 20231
Negative: -1 x -20251231-7 x -2893033-11 x -1841021-13 x -1557787-77 x -263003-91 x -222541-143 x -141617-1001 x -20231


How do I find the factor combinations of the number 20,251,231?

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 20,251,231, 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 20,251,231
-1 -20,251,231

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 20,251,231.

Example:
1 x 20,251,231 = 20,251,231
and
-1 x -20,251,231 = 20,251,231
Notice both answers equal 20,251,231

With that explanation out of the way, let's continue. Next, we take the number 20,251,231 and divide it by 2:

20,251,231 ÷ 2 = 10,125,615.5

If the quotient is a whole number, then 2 and 10,125,615.5 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 20,251,231
-1 -20,251,231

Now, we try dividing 20,251,231 by 3:

20,251,231 ÷ 3 = 6,750,410.3333

If the quotient is a whole number, then 3 and 6,750,410.3333 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 20,251,231
-1 -20,251,231

Let's try dividing by 4:

20,251,231 ÷ 4 = 5,062,807.75

If the quotient is a whole number, then 4 and 5,062,807.75 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 20,251,231
-1 20,251,231
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,00120,231141,617222,541263,0031,557,7871,841,0212,893,03320,251,231
-1-7-11-13-77-91-143-1,001-20,231-141,617-222,541-263,003-1,557,787-1,841,021-2,893,033-20,251,231

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