Q: What are the factor combinations of the number 165,066,505?

 A:
Positive:   1 x 1650665055 x 3301330173 x 2261185137 x 1204865365 x 452237685 x 2409733301 x 5000510001 x 16505
Negative: -1 x -165066505-5 x -33013301-73 x -2261185-137 x -1204865-365 x -452237-685 x -240973-3301 x -50005-10001 x -16505


How do I find the factor combinations of the number 165,066,505?

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 165,066,505, 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.

1 165,066,505
-1 -165,066,505

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 165,066,505.

Example:
1 x 165,066,505 = 165,066,505
and
-1 x -165,066,505 = 165,066,505
Notice both answers equal 165,066,505

With that explanation out of the way, let's continue. Next, we take the number 165,066,505 and divide it by 2:

165,066,505 ÷ 2 = 82,533,252.5

If the quotient is a whole number, then 2 and 82,533,252.5 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:

1 165,066,505
-1 -165,066,505

Now, we try dividing 165,066,505 by 3:

165,066,505 ÷ 3 = 55,022,168.3333

If the quotient is a whole number, then 3 and 55,022,168.3333 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:

1 165,066,505
-1 -165,066,505

Let's try dividing by 4:

165,066,505 ÷ 4 = 41,266,626.25

If the quotient is a whole number, then 4 and 41,266,626.25 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:

1 165,066,505
-1 165,066,505
Keep dividing by the next highest number until you cannot divide anymore.

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

15731373656853,30110,00116,50550,005240,973452,2371,204,8652,261,18533,013,301165,066,505
-1-5-73-137-365-685-3,301-10,001-16,505-50,005-240,973-452,237-1,204,865-2,261,185-33,013,301-165,066,505

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