Q: What are the factor combinations of the number 165,332,015?

 A:
Positive:   1 x 1653320155 x 3306640319 x 870168595 x 1740337
Negative: -1 x -165332015-5 x -33066403-19 x -8701685-95 x -1740337


How do I find the factor combinations of the number 165,332,015?

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 165,332,015, 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.

1 165,332,015
-1 -165,332,015

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 165,332,015.

Example:
1 x 165,332,015 = 165,332,015
and
-1 x -165,332,015 = 165,332,015
Notice both answers equal 165,332,015

With that explanation out of the way, let's continue. Next, we take the number 165,332,015 and divide it by 2:

165,332,015 ÷ 2 = 82,666,007.5

If the quotient is a whole number, then 2 and 82,666,007.5 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:

1 165,332,015
-1 -165,332,015

Now, we try dividing 165,332,015 by 3:

165,332,015 ÷ 3 = 55,110,671.6667

If the quotient is a whole number, then 3 and 55,110,671.6667 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:

1 165,332,015
-1 -165,332,015

Let's try dividing by 4:

165,332,015 ÷ 4 = 41,333,003.75

If the quotient is a whole number, then 4 and 41,333,003.75 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:

1 165,332,015
-1 165,332,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951,740,3378,701,68533,066,403165,332,015
-1-5-19-95-1,740,337-8,701,685-33,066,403-165,332,015

More Examples

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