Q: What are the factor combinations of the number 166,702,855?

 A:
Positive:   1 x 1667028555 x 3334057111 x 1515480555 x 3030961941 x 1771553221 x 517554705 x 3543110351 x 16105
Negative: -1 x -166702855-5 x -33340571-11 x -15154805-55 x -3030961-941 x -177155-3221 x -51755-4705 x -35431-10351 x -16105


How do I find the factor combinations of the number 166,702,855?

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 166,702,855, 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.

1 166,702,855
-1 -166,702,855

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 166,702,855.

Example:
1 x 166,702,855 = 166,702,855
and
-1 x -166,702,855 = 166,702,855
Notice both answers equal 166,702,855

With that explanation out of the way, let's continue. Next, we take the number 166,702,855 and divide it by 2:

166,702,855 ÷ 2 = 83,351,427.5

If the quotient is a whole number, then 2 and 83,351,427.5 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:

1 166,702,855
-1 -166,702,855

Now, we try dividing 166,702,855 by 3:

166,702,855 ÷ 3 = 55,567,618.3333

If the quotient is a whole number, then 3 and 55,567,618.3333 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:

1 166,702,855
-1 -166,702,855

Let's try dividing by 4:

166,702,855 ÷ 4 = 41,675,713.75

If the quotient is a whole number, then 4 and 41,675,713.75 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:

1 166,702,855
-1 166,702,855
Keep dividing by the next highest number until you cannot divide anymore.

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

1511559413,2214,70510,35116,10535,43151,755177,1553,030,96115,154,80533,340,571166,702,855
-1-5-11-55-941-3,221-4,705-10,351-16,105-35,431-51,755-177,155-3,030,961-15,154,805-33,340,571-166,702,855

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