Q: What are the factor combinations of the number 206,031,167?

 A:
Positive:   1 x 20603116729 x 7104523131 x 1572757193 x 1067519281 x 7332073799 x 542335597 x 368118149 x 25283
Negative: -1 x -206031167-29 x -7104523-131 x -1572757-193 x -1067519-281 x -733207-3799 x -54233-5597 x -36811-8149 x -25283


How do I find the factor combinations of the number 206,031,167?

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 206,031,167, 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.

1 206,031,167
-1 -206,031,167

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 206,031,167.

Example:
1 x 206,031,167 = 206,031,167
and
-1 x -206,031,167 = 206,031,167
Notice both answers equal 206,031,167

With that explanation out of the way, let's continue. Next, we take the number 206,031,167 and divide it by 2:

206,031,167 ÷ 2 = 103,015,583.5

If the quotient is a whole number, then 2 and 103,015,583.5 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:

1 206,031,167
-1 -206,031,167

Now, we try dividing 206,031,167 by 3:

206,031,167 ÷ 3 = 68,677,055.6667

If the quotient is a whole number, then 3 and 68,677,055.6667 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:

1 206,031,167
-1 -206,031,167

Let's try dividing by 4:

206,031,167 ÷ 4 = 51,507,791.75

If the quotient is a whole number, then 4 and 51,507,791.75 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:

1 206,031,167
-1 206,031,167
Keep dividing by the next highest number until you cannot divide anymore.

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

1291311932813,7995,5978,14925,28336,81154,233733,2071,067,5191,572,7577,104,523206,031,167
-1-29-131-193-281-3,799-5,597-8,149-25,283-36,811-54,233-733,207-1,067,519-1,572,757-7,104,523-206,031,167

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