Q: What are the factor combinations of the number 166,104,631?

 A:
Positive:   1 x 1661046317 x 2372923311 x 1510042119 x 874234977 x 2157203133 x 1248907209 x 7947591463 x 113537
Negative: -1 x -166104631-7 x -23729233-11 x -15100421-19 x -8742349-77 x -2157203-133 x -1248907-209 x -794759-1463 x -113537


How do I find the factor combinations of the number 166,104,631?

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 166,104,631, 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.

1 166,104,631
-1 -166,104,631

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 166,104,631.

Example:
1 x 166,104,631 = 166,104,631
and
-1 x -166,104,631 = 166,104,631
Notice both answers equal 166,104,631

With that explanation out of the way, let's continue. Next, we take the number 166,104,631 and divide it by 2:

166,104,631 ÷ 2 = 83,052,315.5

If the quotient is a whole number, then 2 and 83,052,315.5 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:

1 166,104,631
-1 -166,104,631

Now, we try dividing 166,104,631 by 3:

166,104,631 ÷ 3 = 55,368,210.3333

If the quotient is a whole number, then 3 and 55,368,210.3333 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:

1 166,104,631
-1 -166,104,631

Let's try dividing by 4:

166,104,631 ÷ 4 = 41,526,157.75

If the quotient is a whole number, then 4 and 41,526,157.75 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:

1 166,104,631
-1 166,104,631
Keep dividing by the next highest number until you cannot divide anymore.

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

171119771332091,463113,537794,7591,248,9072,157,2038,742,34915,100,42123,729,233166,104,631
-1-7-11-19-77-133-209-1,463-113,537-794,759-1,248,907-2,157,203-8,742,349-15,100,421-23,729,233-166,104,631

More Examples

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