Q: What are the factor combinations of the number 20,727,251?

 A:
Positive:   1 x 2072725131 x 66862161 x 33979197 x 213683113 x 1834271891 x 109613007 x 68933503 x 5917
Negative: -1 x -20727251-31 x -668621-61 x -339791-97 x -213683-113 x -183427-1891 x -10961-3007 x -6893-3503 x -5917


How do I find the factor combinations of the number 20,727,251?

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 20,727,251, 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 20,727,251
-1 -20,727,251

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 20,727,251.

Example:
1 x 20,727,251 = 20,727,251
and
-1 x -20,727,251 = 20,727,251
Notice both answers equal 20,727,251

With that explanation out of the way, let's continue. Next, we take the number 20,727,251 and divide it by 2:

20,727,251 ÷ 2 = 10,363,625.5

If the quotient is a whole number, then 2 and 10,363,625.5 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 20,727,251
-1 -20,727,251

Now, we try dividing 20,727,251 by 3:

20,727,251 ÷ 3 = 6,909,083.6667

If the quotient is a whole number, then 3 and 6,909,083.6667 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 20,727,251
-1 -20,727,251

Let's try dividing by 4:

20,727,251 ÷ 4 = 5,181,812.75

If the quotient is a whole number, then 4 and 5,181,812.75 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 20,727,251
-1 20,727,251
Keep dividing by the next highest number until you cannot divide anymore.

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

13161971131,8913,0073,5035,9176,89310,961183,427213,683339,791668,62120,727,251
-1-31-61-97-113-1,891-3,007-3,503-5,917-6,893-10,961-183,427-213,683-339,791-668,621-20,727,251

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