Q: What are the factor combinations of the number 20,671,885?

 A:
Positive:   1 x 206718855 x 413437713 x 159014531 x 66683565 x 318029155 x 133367403 x 512952015 x 10259
Negative: -1 x -20671885-5 x -4134377-13 x -1590145-31 x -666835-65 x -318029-155 x -133367-403 x -51295-2015 x -10259


How do I find the factor combinations of the number 20,671,885?

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 20,671,885, 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 20,671,885
-1 -20,671,885

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 20,671,885.

Example:
1 x 20,671,885 = 20,671,885
and
-1 x -20,671,885 = 20,671,885
Notice both answers equal 20,671,885

With that explanation out of the way, let's continue. Next, we take the number 20,671,885 and divide it by 2:

20,671,885 ÷ 2 = 10,335,942.5

If the quotient is a whole number, then 2 and 10,335,942.5 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 20,671,885
-1 -20,671,885

Now, we try dividing 20,671,885 by 3:

20,671,885 ÷ 3 = 6,890,628.3333

If the quotient is a whole number, then 3 and 6,890,628.3333 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 20,671,885
-1 -20,671,885

Let's try dividing by 4:

20,671,885 ÷ 4 = 5,167,971.25

If the quotient is a whole number, then 4 and 5,167,971.25 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 20,671,885
-1 20,671,885
Keep dividing by the next highest number until you cannot divide anymore.

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

151331651554032,01510,25951,295133,367318,029666,8351,590,1454,134,37720,671,885
-1-5-13-31-65-155-403-2,015-10,259-51,295-133,367-318,029-666,835-1,590,145-4,134,377-20,671,885

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