Q: What are the factor combinations of the number 206,167,555?

 A:
Positive:   1 x 2061675555 x 4123351111 x 1874250555 x 3748501229 x 9002951145 x 1800592519 x 8184512595 x 16369
Negative: -1 x -206167555-5 x -41233511-11 x -18742505-55 x -3748501-229 x -900295-1145 x -180059-2519 x -81845-12595 x -16369


How do I find the factor combinations of the number 206,167,555?

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 206,167,555, 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.

1 206,167,555
-1 -206,167,555

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 206,167,555.

Example:
1 x 206,167,555 = 206,167,555
and
-1 x -206,167,555 = 206,167,555
Notice both answers equal 206,167,555

With that explanation out of the way, let's continue. Next, we take the number 206,167,555 and divide it by 2:

206,167,555 ÷ 2 = 103,083,777.5

If the quotient is a whole number, then 2 and 103,083,777.5 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:

1 206,167,555
-1 -206,167,555

Now, we try dividing 206,167,555 by 3:

206,167,555 ÷ 3 = 68,722,518.3333

If the quotient is a whole number, then 3 and 68,722,518.3333 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:

1 206,167,555
-1 -206,167,555

Let's try dividing by 4:

206,167,555 ÷ 4 = 51,541,888.75

If the quotient is a whole number, then 4 and 51,541,888.75 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:

1 206,167,555
-1 206,167,555
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552291,1452,51912,59516,36981,845180,059900,2953,748,50118,742,50541,233,511206,167,555
-1-5-11-55-229-1,145-2,519-12,595-16,369-81,845-180,059-900,295-3,748,501-18,742,505-41,233,511-206,167,555

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