Q: What are the factor combinations of the number 20,637,407?

 A:
Positive:   1 x 206374077 x 294820167 x 30802179 x 261233469 x 44003553 x 37319557 x 370513899 x 5293
Negative: -1 x -20637407-7 x -2948201-67 x -308021-79 x -261233-469 x -44003-553 x -37319-557 x -37051-3899 x -5293


How do I find the factor combinations of the number 20,637,407?

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 20,637,407, 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 20,637,407
-1 -20,637,407

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 20,637,407.

Example:
1 x 20,637,407 = 20,637,407
and
-1 x -20,637,407 = 20,637,407
Notice both answers equal 20,637,407

With that explanation out of the way, let's continue. Next, we take the number 20,637,407 and divide it by 2:

20,637,407 ÷ 2 = 10,318,703.5

If the quotient is a whole number, then 2 and 10,318,703.5 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 20,637,407
-1 -20,637,407

Now, we try dividing 20,637,407 by 3:

20,637,407 ÷ 3 = 6,879,135.6667

If the quotient is a whole number, then 3 and 6,879,135.6667 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 20,637,407
-1 -20,637,407

Let's try dividing by 4:

20,637,407 ÷ 4 = 5,159,351.75

If the quotient is a whole number, then 4 and 5,159,351.75 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 20,637,407
-1 20,637,407
Keep dividing by the next highest number until you cannot divide anymore.

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

1767794695535573,8995,29337,05137,31944,003261,233308,0212,948,20120,637,407
-1-7-67-79-469-553-557-3,899-5,293-37,051-37,319-44,003-261,233-308,021-2,948,201-20,637,407

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