Q: What are the factor combinations of the number 20,213,017?

 A:
Positive:   1 x 2021301711 x 183754717 x 118900119 x 1063843187 x 108091209 x 96713323 x 625793553 x 5689
Negative: -1 x -20213017-11 x -1837547-17 x -1189001-19 x -1063843-187 x -108091-209 x -96713-323 x -62579-3553 x -5689


How do I find the factor combinations of the number 20,213,017?

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 20,213,017, 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 20,213,017
-1 -20,213,017

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 20,213,017.

Example:
1 x 20,213,017 = 20,213,017
and
-1 x -20,213,017 = 20,213,017
Notice both answers equal 20,213,017

With that explanation out of the way, let's continue. Next, we take the number 20,213,017 and divide it by 2:

20,213,017 ÷ 2 = 10,106,508.5

If the quotient is a whole number, then 2 and 10,106,508.5 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 20,213,017
-1 -20,213,017

Now, we try dividing 20,213,017 by 3:

20,213,017 ÷ 3 = 6,737,672.3333

If the quotient is a whole number, then 3 and 6,737,672.3333 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 20,213,017
-1 -20,213,017

Let's try dividing by 4:

20,213,017 ÷ 4 = 5,053,254.25

If the quotient is a whole number, then 4 and 5,053,254.25 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 20,213,017
-1 20,213,017
Keep dividing by the next highest number until you cannot divide anymore.

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

11117191872093233,5535,68962,57996,713108,0911,063,8431,189,0011,837,54720,213,017
-1-11-17-19-187-209-323-3,553-5,689-62,579-96,713-108,091-1,063,843-1,189,001-1,837,547-20,213,017

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