Q: What are the factor combinations of the number 20,317,115?

 A:
Positive:   1 x 203171155 x 40634237 x 290244513 x 156285535 x 58048949 x 41463565 x 31257191 x 223265245 x 82927455 x 44653637 x 318953185 x 6379
Negative: -1 x -20317115-5 x -4063423-7 x -2902445-13 x -1562855-35 x -580489-49 x -414635-65 x -312571-91 x -223265-245 x -82927-455 x -44653-637 x -31895-3185 x -6379


How do I find the factor combinations of the number 20,317,115?

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 20,317,115, 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 20,317,115
-1 -20,317,115

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 20,317,115.

Example:
1 x 20,317,115 = 20,317,115
and
-1 x -20,317,115 = 20,317,115
Notice both answers equal 20,317,115

With that explanation out of the way, let's continue. Next, we take the number 20,317,115 and divide it by 2:

20,317,115 ÷ 2 = 10,158,557.5

If the quotient is a whole number, then 2 and 10,158,557.5 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 20,317,115
-1 -20,317,115

Now, we try dividing 20,317,115 by 3:

20,317,115 ÷ 3 = 6,772,371.6667

If the quotient is a whole number, then 3 and 6,772,371.6667 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 20,317,115
-1 -20,317,115

Let's try dividing by 4:

20,317,115 ÷ 4 = 5,079,278.75

If the quotient is a whole number, then 4 and 5,079,278.75 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 20,317,115
-1 20,317,115
Keep dividing by the next highest number until you cannot divide anymore.

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

15713354965912454556373,1856,37931,89544,65382,927223,265312,571414,635580,4891,562,8552,902,4454,063,42320,317,115
-1-5-7-13-35-49-65-91-245-455-637-3,185-6,379-31,895-44,653-82,927-223,265-312,571-414,635-580,489-1,562,855-2,902,445-4,063,423-20,317,115

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